Question

Equivalent of $\dfrac{6}{{20}}$is:
A.$6\% $
B.$20\% $
C.$26\% $
D.$30\% $

Answer 1

Hint: Here we are given a fraction where the term is expressed as the numerator upon the denominator. And the percentage is always with respect to a hundred. Here we will first simplify the fraction and multiply it with the number hundred to convert fraction in hundred.

Complete step-by-step answer:
Take the given expression: $\dfrac{6}{{20}}$
Find the factors of the term in the numerator and the denominator. Factors are the terms which when multiplied gives the original number as the value.
$ = \dfrac{{2 \times 3}}{{2 \times 10}}$
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator.
$ = \dfrac{3}{{10}}$
Convert the fraction in the form of the decimal by placing the point.
$ = 0.3$
Convert the given expression in percentage by multiplying with the number hundred.
$ = 0.3 \times 100\% $
Simplify the above expression by shifting the decimal point from left to the right side of the term.
$ = 30\% $
Hence, from the given multiple choices – the option D is the correct answer.
So, the correct answer is “Option D”.

Note: Take the given expression: $\dfrac{6}{{20}}$
Find the equivalent fraction of the given expression. When you divide and multiply the fraction with the same number, we get its equivalent term. Here multiply and divide with the number
$ = \dfrac{{6 \times 5}}{{20 \times 5}}$
Simplify finding the product of the terms in the numerator and the denominator.
$ = \dfrac{{30}}{{100}}$
We know that, percentage is the fraction where the denominator is always hundred.
$ = 30\% $