Chapter SH, Problem 6.1.3EP

To determine

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

Answer to Problem 6.1.3EP

The required simplest form the fraction is $\frac{2}{3}$ .

Explanation of Solution

Given information:

The ratio = 12 dolls out of 18 toys

Calculation:

The ratio can be expressed in the fraction as,

  $\frac{12}{18}$

To find the simplest form of the above fraction, find the greatest common factor of the numerator and denominator that is, 12 and 18.

  $12=2\times 2\times 3$

  $18=2\times 3\times 3$

Thus, the greatest common factor of 12 and 18 is $2\times 3=6$

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

  $\begin{array}{c}\frac{\frac{12}{6}}{\frac{18}{6}}=\frac{\frac{\cancel{12}}{\cancel{6}}}{\frac{\cancel{18}}{\cancel{6}}}\\ =\frac{2}{3}\end{array}$

Hence, the required simplest form the fraction is $\frac{2}{3}$ .