Question

How do you write 49% as a fraction?

Answer 1

Hint: We use the concept of the percentage to find the proportion of the amount of a substance to a larger sum of substance. The percentage is represented by the symbol "%". In mathematics, when a number or ratio is expressed as a fraction of 100, we get the percentage. In everyday life, the percentage is most important in financial aspects. By dividing the given percentage by 100, the percentage is converted into fraction form or decimal form, like 1% in fraction form is $\dfrac{1}{{100}}$ and in decimal form is 0.01.

Complete step-by-step answer:
We are given a percentage in this question and we have to express it as a ratio so by following the above steps, we can get the correct answer.
We have to convert $49\% $ into fraction; it is done as follows –
On dividing $49\% $ by 100, get – $\dfrac{{49}}{{100}}$
Hence, $49\% $ in the fraction is $\dfrac{{49}}{{100}}$ .
So, the correct answer is “$\dfrac{{49}}{{100}}$”.

Note: We write percentage In statement form as – “x percent of some amount”. For example, let Rs.2000 be the whole amount that it is represented by 100%, if we have to find 50% of this amount then it will be written as – “60% of Rs.2000 is…” A Fraction is divided into two parts by a horizontal line, the upper part is called the numerator and the lower part is called the denominator. The above example can be rewritten in fraction form as $\dfrac{1}{2}$ of Rs.2000 and in decimal form as - 0.5 times of 2000.