Chapter 6, Problem 7QC

To determine

To calculate: The simplified form of the fraction that denotes the students who own pets.

Answer to Problem 7QC

The simplified form of the fraction that denotes the students who own petsis $\frac{4}{3}$ .

Explanation of Solution

Given information:

The class of Mr. Masuru’s has 20 children and 15 out of them have pets.

Formula used:

A natural number can be written as a product of its prime factors. Prime numbers are those who have one and the number itself as its factors.

Calculation:

Consider the provided statement the class of Mr. Masuru’s has 20 children and 15 out of them have pets.

Total students are 20 and 15 have pets.

This is mathematically expressed as total students divided by students who own pets that is,

$\frac{20}{15}$

Factorize the numerator and denominator of the above fraction.

20 is written as product of 4 and 5.

15 is written as product of 3 and 5.

  $\frac{20}{15}=\frac{4\times 5}{3\times 5}$

Strike off the common terms,

  $\frac{20}{15}=\frac{4}{3}$

Observe that 4 and 3 have common factor as 1 only.

Therefore, it cannot be simplified further.

Hence, the simplified form of the fraction that denotes the students who own pets is $\frac{4}{3}$ .