Question

How do you convert $0.55$ into a percentage and fraction?

Answer 1

Hint:In this question we need to determine the percentage and fraction of $0.55$. First, we will determine the percentage by multiplying the decimal value by $100$ and adding $\% $. Then, we will convert a decimal into fraction, by placing the decimal over its place value. Here it is $100$.

Complete step-by-step solution:
Here, we need to convert $0.55$ into a percentage and fraction.

Generally, converting a decimal to a percentage is done by multiplying the decimal value by $100$ and
adding $\% $.

Now, let us convert $0.55$ into percentage,
$ = 0.55 \times 100$
$ = 55\% $
Hence, the percentage of $0.55$ is $55\% $.

Now, let us convert $0.55$ into a fraction.

Generally, to convert a decimal into fraction, place the decimal over its place value.

Now, the place value of $0.55$is $100$. Since, we have five numbers after the decimal point.

Therefore, let us multiply and divide by $100$.
Thus, we have,
$ = $$0.55 \times \dfrac{{100}}{{100}}$
$ = \dfrac{{55}}{{100}}$
$ = \dfrac{{11}}{{20}}$

Hence, the fraction of $0.55$ is $\dfrac{{11}}{{20}}$.

Note: To go from a decimal to a percent, all we have to do is to move the decimal point over to the right by two places. Don’t forget to tack on a percentage sign. On the other hand, if we need to convert a percentage to a decimal then, divide by $100$ and remove the percentage symbol.

The given decimal is called the terminating decimal. The terminating decimals are defined as the decimals that have a finite number of digits after the decimal point.

To convert the decimal to a fraction, first write the decimal divided by one. Next, we want to multiply both the top and bottom of the new fraction by $10$ for every digit to the left of the decimal point. Finally we need to reduce the fraction to its simplest.