Chapter 4.3, Problem 35E

To determine

To simplify fraction in simplest form.

Answer to Problem 35E

  $\frac{77x^2}{6}$

Explanation of Solution

Given information: $\frac{77x^3}{6x}$

Formula Used: Factorisation

Calculation:

  $\frac{77x^3}{6x}$

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

  $\frac{77x^3}{6x}=\frac{7\times 11\times x\times x\times x}{2\times 3\times x}$

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

  $\frac{7\times 11\times x\times x\times x}{2\times 3\times x}=\frac{7\times 11\times x\times x}{2\times 3}$

Hence, fraction in simplest form

  $\frac{77x^3}{6x}=\frac{77x^2}{6}$