Question

How do you convert ${\displaystyle \frac{71}{100}}$ as a decimal and a percent?

Answer 1

Hint: We are given a number in rational form. We have to convert the number in decimal form and into a percent form. First, to represent the number in decimal form, place the decimal before the number of terms equivalent to the number of zeros at the denominator. Then, convert the number into percent, multiply the fractional number by 100 and write the number with percent symbol.

Complete step by step solution:
We are given the number, ${\displaystyle \frac{71}{100}}$.

The number in the decimal form can be written as the whole number separated by the fractional part by a decimal point.

To write the given expression, in decimal form determine the number of zeros at the denominator that is 2.

Thus, to place the decimal at the numerator, move the decimal 2 places to the left of the whole number.

$\Rightarrow {\displaystyle \frac{71}{100}}=0.71$

Now, to convert a number into percentage multiply the fraction form of the number by 100.

$\Rightarrow {\displaystyle \frac{71}{100}}\times 100$

Write the number with percent symbol.

$\Rightarrow 71\mathrm{\%}$

Hence, the number ${\displaystyle \frac{71}{100}}$ is expressed in decimal form as $0.71$ and in percent form as $71\mathrm{\%}$

Note: The students must note that in such types of questions while converting the fractional number into decimal form, the decimal at the numerator will move to the left of the whole number by number of places equivalent to the number of zeros at the denominator. Students must also remember that a percent represents the number of parts out of 100. Thus, percentages are the numerator of the fractions with denominators equal to 100. The percent is generally denoted by the symbol $\mathrm{\%}$