Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Chapter 3.6, Problem 45PPS
To determine

To calculate: have to calculate the difference of the given fraction.

Expert Solution & Answer
Check Mark

Answer to Problem 45PPS

The difference of the given fraction is 330090990000 .

Explanation of Solution

Given data: 24.56¯−(−12.1¯)

Some simple steps have to follow to add or subtract the, unlike fractions.

Sept-I:Convert Recurring numbers into the fractions.

Since, 24.56¯ is a recurring number.

Suppose the x=24.56565656 ...(i)

Now, multiply the equation (i) by 10 both side, we get

  10x=245.65656 ...(ii)

Again, multiply the equation (ii) by 10 both side, we get

  100x=2456.565656565 ...(ii)

Subtract the equation (ii) to equation (iii), we get

  ⇒90x=2210.909⇒x=221090990000

Since, 12.1¯ is a recurring number.

Suppose the x=12.111111 ...(i)

Now, multiply the equation (i) by 10 both side, we get

  10x=121.11111 ...(ii)

Subtract the equation (i) to equation (ii), we get

  ⇒9x=109⇒x=1099

Step-II: Convert the mixed fraction into an improper fraction (if any).

  =221090990000−(−1099)

  =221090990000+1099 [Unlike fraction]

Step-III: Calculate the ‘Least Common Multiple’ (LCM) of the denominator of the given fraction.

Now, Least Common Multiple (LCM) =10000

Step-IV: Convert each fraction into an equivalent fraction by multiplies and divide of its denominator and numerator to the equal to the ‘Least Common Multiple’ (LCM) obtained in step -II.

  =221090990000+1099=221090990000+109×100009×10000

  =221090990000+109000090000 [Like fraction]

Step-V: Add or subtract the like fraction to convert into a simple form.

  =221090990000+109000090000=2210909+109000090000=330090990000

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Chapter 3 Solutions

Pre-Algebra Student Edition

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2AGPCh. 3.1 - Prob. 2BGPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5GPCh. 3.1 - Prob. 1CYUCh. 3.1 - Prob. 2CYU
Ch. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13CYUCh. 3.1 - Prob. 14CYUCh. 3.1 - Prob. 15CYUCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - Prob. 47PPSCh. 3.1 - Prob. 48PPSCh. 3.1 - Prob. 49PPSCh. 3.1 - Prob. 50PPSCh. 3.1 - Prob. 51PPSCh. 3.1 - Prob. 52PPSCh. 3.1 - Prob. 53PPSCh. 3.1 - Prob. 54PPSCh. 3.1 - Prob. 55PPSCh. 3.1 - Prob. 56PPSCh. 3.1 - Prob. 57PPSCh. 3.1 - Prob. 59HPCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 61HPCh. 3.1 - Prob. 62HPCh. 3.1 - Prob. 63HPCh. 3.1 - Prob. 64HPCh. 3.1 - Prob. 65STPCh. 3.1 - Prob. 66STPCh. 3.1 - Prob. 67STPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 69SRCh. 3.1 - Prob. 70SRCh. 3.1 - Prob. 71SRCh. 3.1 - Prob. 72SRCh. 3.1 - Prob. 73SRCh. 3.1 - Prob. 74SRCh. 3.1 - Prob. 75SRCh. 3.1 - Prob. 76SRCh. 3.1 - Prob. 77SRCh. 3.1 - Prob. 78SRCh. 3.1 - Prob. 79SCh. 3.1 - Prob. 80SCh. 3.1 - Prob. 81SCh. 3.1 - Prob. 82SCh. 3.2 - Prob. 1AGPCh. 3.2 - Prob. 1BGPCh. 3.2 - Prob. 2AGPCh. 3.2 - Prob. 2BGPCh. 3.2 - Prob. 2CGPCh. 3.2 - Prob. 3GPCh. 3.2 - Prob. 4AGPCh. 3.2 - Prob. 4BGPCh. 3.2 - Prob. 4CGPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9CYUCh. 3.2 - Prob. 10CYUCh. 3.2 - 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Prob. 59HPCh. 3.2 - Prob. 60HPCh. 3.2 - Prob. 61STPCh. 3.2 - Prob. 62STPCh. 3.2 - Prob. 63STPCh. 3.2 - Prob. 64STPCh. 3.2 - Prob. 65SRCh. 3.2 - Prob. 66SRCh. 3.2 - Prob. 67SRCh. 3.2 - Prob. 68SRCh. 3.2 - Prob. 69SRCh. 3.2 - Prob. 70SRCh. 3.2 - Prob. 71SRCh. 3.2 - Prob. 72SRCh. 3.2 - Prob. 73SRCh. 3.2 - Prob. 74SRCh. 3.2 - Prob. 75SRCh. 3.2 - Prob. 76SCh. 3.2 - Prob. 77SCh. 3.2 - Prob. 78SCh. 3.2 - Prob. 79SCh. 3.3 - Prob. 1AGPCh. 3.3 - Prob. 1BGPCh. 3.3 - Prob. 2AGPCh. 3.3 - Prob. 2BGPCh. 3.3 - Prob. 2CGPCh. 3.3 - Prob. 2DGPCh. 3.3 - Prob. 3AGPCh. 3.3 - Prob. 3BGPCh. 3.3 - Prob. 3CGPCh. 3.3 - Prob. 4GPCh. 3.3 - Prob. 1CYUCh. 3.3 - Prob. 2CYUCh. 3.3 - Prob. 3CYUCh. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5CYUCh. 3.3 - Prob. 6CYUCh. 3.3 - Prob. 7CYUCh. 3.3 - Prob. 8CYUCh. 3.3 - Prob. 9CYUCh. 3.3 - Prob. 10CYUCh. 3.3 - Prob. 11CYUCh. 3.3 - Prob. 12CYUCh. 3.3 - Prob. 13CYUCh. 3.3 - Prob. 14CYUCh. 3.3 - Prob. 15PPSCh. 3.3 - Prob. 16PPSCh. 3.3 - Prob. 17PPSCh. 3.3 - Prob. 18PPSCh. 3.3 - Prob. 19PPSCh. 3.3 - 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Prob. 69SRCh. 3.3 - Prob. 70SRCh. 3.3 - Prob. 71SRCh. 3.3 - Prob. 72SRCh. 3.3 - Prob. 73SRCh. 3.3 - Prob. 74SRCh. 3.3 - Prob. 75SRCh. 3.3 - Prob. 76SRCh. 3.3 - Prob. 77SRCh. 3.3 - Prob. 78SRCh. 3.3 - Prob. 79SRCh. 3.3 - Prob. 80SCh. 3.3 - Prob. 81SCh. 3.3 - Prob. 82SCh. 3.3 - Prob. 83SCh. 3.4 - Prob. 1AGPCh. 3.4 - Prob. 1BGPCh. 3.4 - Prob. 2AGPCh. 3.4 - Prob. 2BGPCh. 3.4 - Prob. 2CGPCh. 3.4 - Prob. 2DGPCh. 3.4 - Prob. 3AGPCh. 3.4 - Prob. 3BGPCh. 3.4 - Prob. 4GPCh. 3.4 - Prob. 5AGPCh. 3.4 - Prob. 5BGPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8CYUCh. 3.4 - Prob. 9CYUCh. 3.4 - Prob. 10CYUCh. 3.4 - Prob. 11CYUCh. 3.4 - Prob. 12CYUCh. 3.4 - Prob. 13CYUCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30PPSCh. 3.4 - Prob. 31PPSCh. 3.4 - Prob. 32PPSCh. 3.4 - Prob. 33PPSCh. 3.4 - Prob. 34PPSCh. 3.4 - Prob. 35PPSCh. 3.4 - Prob. 36PPSCh. 3.4 - Prob. 37PPSCh. 3.4 - Prob. 38PPSCh. 3.4 - Prob. 39PPSCh. 3.4 - Prob. 40PPSCh. 3.4 - Prob. 41PPSCh. 3.4 - Prob. 42HPCh. 3.4 - Prob. 43HPCh. 3.4 - Prob. 44HPCh. 3.4 - Prob. 45HPCh. 3.4 - Prob. 46HPCh. 3.4 - Prob. 47STPCh. 3.4 - Prob. 48STPCh. 3.4 - Prob. 49STPCh. 3.4 - Prob. 50STPCh. 3.4 - Prob. 51SRCh. 3.4 - Prob. 52SRCh. 3.4 - Prob. 53SRCh. 3.4 - Prob. 54SRCh. 3.4 - Prob. 55SRCh. 3.4 - Prob. 56SRCh. 3.4 - Prob. 57SRCh. 3.4 - Prob. 58SRCh. 3.4 - Prob. 59SRCh. 3.4 - Prob. 60SRCh. 3.4 - Prob. 61SRCh. 3.4 - Prob. 62SCh. 3.4 - Prob. 63SCh. 3.4 - Prob. 64SCh. 3.4 - Prob. 65SCh. 3.4 - Prob. 66SCh. 3.4 - Prob. 67SCh. 3.5 - Prob. 1AGPCh. 3.5 - Prob. 1BGPCh. 3.5 - Prob. 2AGPCh. 3.5 - Prob. 2BGPCh. 3.5 - Prob. 2CGPCh. 3.5 - Prob. 3AGPCh. 3.5 - Prob. 3BGPCh. 3.5 - Prob. 3CGPCh. 3.5 - Prob. 4GPCh. 3.5 - Prob. 5GPCh. 3.5 - Prob. 6AGPCh. 3.5 - Prob. 6bGPCh. 3.5 - Prob. 6CGPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8CYUCh. 3.5 - Prob. 9CYUCh. 3.5 - Prob. 10CYUCh. 3.5 - Prob. 11CYUCh. 3.5 - Prob. 12CYUCh. 3.5 - Prob. 13CYUCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31PPSCh. 3.5 - Prob. 32PPSCh. 3.5 - Prob. 33PPSCh. 3.5 - Prob. 34PPSCh. 3.5 - Prob. 35PPSCh. 3.5 - Prob. 36PPSCh. 3.5 - Prob. 37PPSCh. 3.5 - Prob. 38PPSCh. 3.5 - Prob. 39PPSCh. 3.5 - Prob. 40PPSCh. 3.5 - Prob. 41PPSCh. 3.5 - Prob. 42PPSCh. 3.5 - Prob. 43HPCh. 3.5 - Prob. 44HPCh. 3.5 - Prob. 45HPCh. 3.5 - Prob. 46HPCh. 3.5 - Prob. 47HPCh. 3.5 - Prob. 48STPCh. 3.5 - Prob. 49STPCh. 3.5 - Prob. 50STPCh. 3.5 - Prob. 51STPCh. 3.5 - Prob. 52SRCh. 3.5 - Prob. 53SRCh. 3.5 - Prob. 54SRCh. 3.5 - Prob. 55SRCh. 3.5 - Prob. 56SRCh. 3.5 - Prob. 57SRCh. 3.5 - Prob. 58SRCh. 3.5 - Prob. 59SRCh. 3.5 - Prob. 60SCh. 3.5 - Prob. 61SCh. 3.5 - Prob. 62SCh. 3.5 - Prob. 63SCh. 3.5 - Prob. 64SCh. 3.5 - Prob. 65SCh. 3.6 - Prob. 1AGPCh. 3.6 - Prob. 1BGPCh. 3.6 - Prob. 2AGPCh. 3.6 - Prob. 2BGPCh. 3.6 - Prob. 2CGPCh. 3.6 - Prob. 3AGPCh. 3.6 - Prob. 3BGPCh. 3.6 - Prob. 3CGPCh. 3.6 - Prob. 4GPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8CYUCh. 3.6 - Prob. 9CYUCh. 3.6 - Prob. 10CYUCh. 3.6 - Prob. 11CYUCh. 3.6 - Prob. 12CYUCh. 3.6 - Prob. 13CYUCh. 3.6 - Prob. 14PPSCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32PPSCh. 3.6 - Prob. 33PPSCh. 3.6 - Prob. 34PPSCh. 3.6 - Prob. 35PPSCh. 3.6 - Prob. 36PPSCh. 3.6 - Prob. 37PPSCh. 3.6 - Prob. 38PPSCh. 3.6 - Prob. 39PPSCh. 3.6 - Prob. 40PPSCh. 3.6 - Prob. 41PPSCh. 3.6 - Prob. 42PPSCh. 3.6 - Prob. 43PPSCh. 3.6 - Prob. 44PPSCh. 3.6 - Prob. 45PPSCh. 3.6 - Prob. 46PPSCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48HPCh. 3.6 - Prob. 49HPCh. 3.6 - Prob. 50HPCh. 3.6 - Prob. 51HPCh. 3.6 - Prob. 52HPCh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55STPCh. 3.6 - Prob. 56STPCh. 3.6 - Prob. 57SRCh. 3.6 - Prob. 58SRCh. 3.6 - Prob. 59SRCh. 3.6 - Prob. 60SRCh. 3.6 - Prob. 61SRCh. 3.6 - Prob. 62SRCh. 3.6 - Prob. 63SRCh. 3.6 - Prob. 64SRCh. 3.6 - Prob. 65SRCh. 3.6 - Prob. 66SCh. 3.6 - Prob. 67SCh. 3.6 - Prob. 68SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 15QCCh. 3 - Prob. 16QCCh. 3 - Prob. 17QCCh. 3 - Prob. 18QCCh. 3 - Prob. 19QCCh. 3 - Prob. 20QCCh. 3 - Prob. 21QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 23MCQCh. 3 - Prob. 24MCQCh. 3 - Prob. 25MCQCh. 3 - Prob. 26MCQCh. 3 - Prob. 27MCQCh. 3 - Prob. 28MCQCh. 3 - Prob. 29MCQCh. 3 - Prob. 30MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - Prob. 34SGRCh. 3 - Prob. 35SGRCh. 3 - Prob. 36SGRCh. 3 - Prob. 37SGRCh. 3 - Prob. 38SGRCh. 3 - Prob. 39SGRCh. 3 - Prob. 40SGRCh. 3 - Prob. 41SGRCh. 3 - Prob. 42SGRCh. 3 - Prob. 43SGRCh. 3 - Prob. 44SGRCh. 3 - Prob. 45SGRCh. 3 - Prob. 46SGRCh. 3 - Prob. 47SGRCh. 3 - Prob. 48SGRCh. 3 - Prob. 49SGRCh. 3 - Prob. 50SGRCh. 3 - Prob. 51SGRCh. 3 - Prob. 52SGRCh. 3 - Prob. 53SGRCh. 3 - Prob. 54SGRCh. 3 - Prob. 55SGRCh. 3 - Prob. 56SGRCh. 3 - Prob. 57SGRCh. 3 - Prob. 58SGRCh. 3 - Prob. 59SGRCh. 3 - Prob. 60SGRCh. 3 - Prob. 61SGRCh. 3 - Prob. 62SGRCh. 3 - Prob. 63SGRCh. 3 - Prob. 64SGRCh. 3 - Prob. 65SGRCh. 3 - Prob. 66SGRCh. 3 - Prob. 67SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 24PTCh. 3 - Prob. 25PTCh. 3 - Prob. 26PTCh. 3 - Prob. 27PTCh. 3 - Prob. 28PTCh. 3 - Prob. 29PTCh. 3 - Prob. 30PTCh. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STPCh. 3 - Prob. 11STPCh. 3 - Prob. 12STPCh. 3 - Prob. 13STPCh. 3 - Prob. 14STP

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