Chapter 4.3, Problem 26E

To determine

To simplify fraction in simplest form.

Answer to Problem 26E

  $\frac{13}{14}$

Explanation of Solution

Given information: $\frac{39}{42}$

Formula Used: Factorisation

Calculation:

  $\frac{39}{42}$

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

  $\frac{39}{42}=\frac{3\times 13}{2\times 3\times 7}$

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

  $\frac{3\times 13}{2\times 3\times 7}=\frac{13}{2\times 7}$

Hence, fraction in simplest form

  $\frac{39}{42}=\frac{13}{14}$