Chapter 4, Problem 20CR

To determine

To write the fraction in simplest form $\frac{30}{72}$

Answer to Problem 20CR

  $\frac{5}{12}$

Explanation of Solution

Given information:

Expression $\frac{30}{72}$

Formula Used: Factorization

Calculation:

Here, break both the numerator & denominator into its factors respectively.

So, 30 may be written as $2\times 3\times 5$

And 72 may be written as $2\times 2\times 2\times 3\times 3$

The fraction is revised as follows-

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

As can see that $2\times 3$ is available in both numerator & denominator. So these values cancel out and have-

  $=\frac{5}{2\times 2\times 3}$

Hence,

  $=\frac{5}{12}$

Conclusion-

  $=\frac{5}{12}$