Chapter 4.3, Problem 34E

To determine

To simplify fraction in simplest form.

Answer to Problem 34E

  $\frac{3r}{4}$

Explanation of Solution

Given information: $\frac{42r^3}{56r^2}$

Formula Used: Factorisation

Calculation:

  $\frac{42r^3}{56r^2}$

Now, Simplify by breaking numerator and denominator into multiplication of prime numbers

  $\frac{42r^3}{56r^2}=\frac{2\times 3\times 7\times r\times r\times r}{2\times 2\times 2\times 7\times r\times r}$

Now, divide the numerator by denominator to make fraction in simplest form.

  $\frac{2\times 3\times 7\times r\times r\times r}{2\times 2\times 2\times 7\times r\times r}=\frac{3\times r}{2\times 2}$

Hence, fraction in simplest form

  $\frac{42r^3}{56r^2}=\frac{3r}{4}$