Chapter SH, Problem 6.1.6EP

To determine

To calculate: The fraction of the ratio in simplest form.

Answer to Problem 6.1.6EP

The required simplest form the fraction is 5.

Explanation of Solution

Given information:

The ratio = 30 birds to 6 birds

Calculation:

The ratio can be expressed in the fraction as,

  $\frac{30}{6}$

To find the simplest form of the above fraction, find the greatest common factor of the numerator and denominator that is, 30 and 6.

  $30=2\times 3\times 5$

  $6=2\times 3$

Thus, the greatest common factor of 30 and 6 is $2\times 3=6$

Divide the numerator and the denominator of the fraction by 6.

  $\begin{array}{c}\frac{\frac{30}{6}}{\frac{6}{6}}=\frac{\frac{\cancel{30}}{\cancel{6}}}{\frac{\cancel{6}}{\cancel{6}}}\\ =\frac{5}{1}\\ =5\end{array}$

Hence, the required simplest form the fraction is 5.