Chapter 4, Problem 11CST

To determine

To write the fraction in simplest form $\frac{30}{36}$

Answer to Problem 11CST

  $\frac{5}{6}$

Explanation of Solution

Given information:

30 out of 36 plants are flowering. So our fraction is $\frac{30}{36}$

Formula Used: Factorization

Calculation:

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

  $\frac{30}{36}=\frac{5\times 2\times 3}{2\times 3\times 2\times 3}$

As both numerator & denominator has $2\times 3$ in common, so they cancel out.

In the next step,

  $=\frac{5}{2\times 3}=\frac{5}{6}$

This gives us-

  $=\frac{5}{6}$

Conclusion-

  $=\frac{5}{6}$