Chapter 4.3, Problem 33E

To determine

To simplify fraction in simplest form.

Answer to Problem 33E

  $\frac{3}{5w}$

Explanation of Solution

Given information: $\frac{36w}{60w^2{}^{}}$

Formula Used: Factorisation

Calculation:

  $\frac{36w}{60w^2{}^{}}$

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

  $\frac{36w}{60w^2{}^{}}=\frac{2\times 2\times 3\times 3\times w}{2\times 2\times 3\times 5\times w\times w}$

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

  $\frac{2\times 2\times 3\times 3\times w}{2\times 2\times 3\times 5\times w\times w}=\frac{3}{5\times w}$

Hence, fraction in simplest form

  $\frac{36w}{60w^2{}^{}}=\frac{3}{5w}$