Example Add. (2 + 1) + 1Use the Commutative Property and the Associative Property.(물+ 1층)~ 1금 -Use the Commutative Property toput fractions with like denominatorsnext to each other.Use the Associative Property togroup fractions with likedenominators together.Use mental math to add the fractionswith like denominators.Write equivalent fractions withlike denominators.Then add.Rename and simplify.Try This! Use properties to solve. Show each step and namethe property used.A 54 + ( + 1) Lesson 6.6NameAdd and Subtract MIxed NumbersEential Questen an yu ad and s t d sUNLOCK the ProblemREAL WORLDDenise mixed 1 ounces of blue paint with2 ounces of yellow paint. How manyounces of paint did Denise mix?What operation should you use to solvethe problem?•Do the fractions have the same denominator?1 Add. 1 + 21oTo find the sum of mixed numbers with unlike denominators, you canuse a common denominator.STEP 1Estimate the sum.STEP 2Find a common denominator. Use thecommon denominator to write equivalentfractions with like denominators.+2-= +STEP 3Add the fractions. Then add the wholenumbers. Write the answer in simplest form.So, Denise mixedounces of paint.Math Talk Did you use theleast common denominator?Explain.1. Explain how you know whether your answer is reasonable.2. What other common denominator could you have used?Chapter 6

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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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.

Topic Video

Question

Example Add. (2 + 1) + 1
Use the Commutative Property and the Associative Property.
(물+ 1층)~ 1금 -
Use the Commutative Property to
put fractions with like denominators
next to each other.
Use the Associative Property to
group fractions with like
denominators together.
Use mental math to add the fractions
with like denominators.
Write equivalent fractions with
like denominators.
Then add.
Rename and simplify.
Try This! Use properties to solve. Show each step and name
the property used.
A 54 + ( + 1)

Lesson 6.6
Name
Add and Subtract MIxed Numbers
Eential Questen an yu ad and s t d s
UNLOCK the Problem
REAL WORLD
Denise mixed 1 ounces of blue paint with
2 ounces of yellow paint. How many
ounces of paint did Denise mix?
What operation should you use to solve
the problem?
•Do the fractions have the same denominator?
1 Add. 1 + 21o
To find the sum of mixed numbers with unlike denominators, you can
use a common denominator.
STEP 1
Estimate the sum.
STEP 2
Find a common denominator. Use the
common denominator to write equivalent
fractions with like denominators.
+2-
= +
STEP 3
Add the fractions. Then add the whole
numbers. Write the answer in simplest form.
So, Denise mixed
ounces of paint.
Math Talk Did you use the
least common denominator?
Explain.
1. Explain how you know whether your answer is reasonable.
2. What other common denominator could you have used?
Chapter 6

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