Chapter 4.3, Problem 36E

To determine

To simplify fraction in simplest form.

Answer to Problem 36E

  $\frac{7}{t}$

Explanation of Solution

Given information: $\frac{49t^2}{7t^3{}^{}}$

Formula Used: Factorisation

Calculation:

  $\frac{49t^2}{7t^3{}^{}}$

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

  $\frac{49t^2}{7t^3{}^{}}=\frac{7\times 7\times t\times t}{7\times t\times t\times t}$

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

  $\frac{7\times 7\times t\times t}{7\times t\times t\times t}=\frac{7}{t}$

Hence, fraction in simplest form

  $\frac{49t^2}{7t^3{}^{}}=\frac{7}{t}$