Chapter 4, Problem 10CT

To determine

To write the fraction in simplest form $\frac{46}{60}$

Answer to Problem 10CT

  $\frac{23}{30}$

Explanation of Solution

Given information:

Expression $\frac{46}{60}$

Formula Used: Factorization

Calculation:

To reduce the fraction to its simplest form, break down the numerator & denominator into its factors. So, -

  $\frac{46}{60}=\frac{23\times 2}{5\times 2\times 2\times 3}$

As both numerator & denominator has 2 common, so they cancel out. In the next step,

  $=\frac{23}{5\times 2\times 3}$

On simplifying the denominator, final answer is-

  $=\frac{23}{30}$

Conclusion-

  $=\frac{23}{30}$