Question

What is the ratio \[\dfrac{2}{3}\] to 8 as a fraction written in simplest form?

Answer 1

Hint: Given is the ratio of a fraction and a number. The numerator so written of the ratio will be the fraction and the number will be the denominator. And related to the simplest form, the denominator of the ratio will be the denominator of the fraction as a whole. So we will simplify the ratio as well.

Complete step by step solution:
Given is a fraction \[\dfrac{2}{3}\] and the number is 8.
\[ = \dfrac{{\dfrac{2}{3}}}{8}\]
Now we will write the denominator as ,
\[ = \dfrac{2}{{3 \times 8}}\]
Now we will simplify by dividing by 2,
\[ = \dfrac{1}{{3 \times 4}}\]
Now multiply the numbers in the denominator,
\[ = \dfrac{1}{{12}}\]
So, the correct answer is “\[ \dfrac{1}{{12}}\]”.

Note: If ratio is written in words like a to b then a is the numerator and b is the denominator. So here as well in the question “to” word is written. So whatever before “to” is the numerator and after “to” will be the denominator in case of a ratio.