Solution: 987.2 as a fraction is 4936/5
Methods
Converting 987.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 987.2 to a fraction is to re-write 987.2 in the form p/q where p and q are both positive integers. To start with, 987.2 can be written as simply 987.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 987.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 987.2/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 987.2/1 each by 10:
987.2
×
10
1
×
10
=
9872
10
\frac{987.2 × 10}{1 × 10} = \frac{9872}{10}
1 × 10 987.2 × 10 = 10 9872
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
9872
10
=
4936
5
\frac{9872}{10} = \frac{4936}{5}
10 9872 = 5 4936
Convert Other Values to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 1.478 as a fraction?
What is 69.61 as a fraction?
What is 6.063 as a fraction?
What is 7.726 as a fraction?
What is 729.8 as a fraction?