Chapter SH, Problem 4.5E

To determine

To find: The five fraction that is equivalent to the given fraction_.

Answer to Problem 4.5E

The five equivalent fraction are $\frac{10}{12},\frac{15}{18},\frac{20}{24},\frac{25}{30},\frac{30}{36}$ .

Explanation of Solution

Given:

The given fraction is $\frac{5}{6}$ .

Calculation:

Then five equivalent fraction is obtained by multiplying the denominator and the numerator by the same number of different values.

The five equivalent fraction of $\frac{5}{6}$ is,

  $\begin{array}{l}\frac{5}{6}\times \frac{2}{2}=\frac{10}{12}\\ \frac{5}{6}\times \frac{3}{3}=\frac{15}{18}\\ \frac{5}{6}\times \frac{4}{4}=\frac{20}{24}\\ \frac{5}{6}\times \frac{5}{5}=\frac{25}{30}\end{array}$

Also,

  $\frac{5}{6}\times \frac{6}{6}=\frac{30}{36}$

Thus, the five equivalent fraction are

  $\frac{10}{12},\frac{15}{18},\frac{20}{24},\frac{25}{30},\frac{30}{36}$ .