Question

How do you convert $0.375$ into a fraction and percent?

Answer 1

Hint:
It’s possible to write decimals in fraction form. To convert a decimal into a fraction, place the decimal number over its place value. For example, in $0.7$, the six is in the tenths place, so we place $7$ over $10$ to create the equivalent fraction, $\dfrac{7}{{10}}$. If it is needed, we need to simplify the fraction.
Percent is always based off of $100\% $, so decimals up to the hundredths place will always be integers, and the numbers after the hundredths place will be after the decimal. The tens place in the percent will always be in the tenths place in decimal form as well.

Complete Step by Step Solution:
According to the given information, we need to turn $0.375$ to fraction.
Here, the third decimal place is in the thousandths.
So $0.375$ is equivalent to $\dfrac{{375}}{{1000}}$
Properly written as: $0.375 = \dfrac{{375}}{{1000}}$

Now, we need to convert this percent in the form of $x\% $, for that we just need to multiply the fraction by $100$ giving:
To write $0.375$ as a percent have to remember that $1$ equals $100\% $ and for that what we need to do is just to multiply the number by 100 and write $\% $ symbol against it.
Hence,
$0.375 \times 100 = 37.5\% $
And finally we have: $0.375$ as a percent equals $37.5\% $.

Note:
In short the relation between percent, decimal and fraction is given by,
$1\% = 0.01 = \dfrac{1}{{100}}$.
To turn decimal as a percent, we have to remember that $1$ equals $100\% $ and for that what we need to do is just to multiply the number by 100 and write $\% $ symbol against it.