Chapter SH, Problem 6.1.2EP

To determine

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

Answer to Problem 6.1.2EP

The required simplest form the fraction is $\frac{3}{7}$ .

Explanation of Solution

Given information:

The ratio = 6 pens out of 14 pencils

Calculation:

The ratio can be expressed in the fraction as,

  $\frac{6}{14}$

To find the simplest form of the above fraction, find the greatest common factor of the numerator and denominator that is, 6 and 14.

  $6=2\times 3$

  $14=2\times 7$

Thus, the greatest common factor of 6 and 14 is 2.

Divide the numerator and the denominator of the fraction by 2.

  $\begin{array}{c}\frac{\frac{6}{2}}{\frac{14}{2}}=\frac{\frac{\cancel{6}}{\cancel{2}}}{\frac{\cancel{14}}{\cancel{2}}}\\ =\frac{3}{7}\end{array}$

Hence, the required simplest form the fraction is $\frac{3}{7}$ .