Solution: 28.2 as a fraction is 141/5
Methods
Converting 28.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 28.2 to a fraction is to re-write 28.2 in the form p/q where p and q are both positive integers. To start with, 28.2 can be written as simply 28.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 28.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 28.2/1 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 28.2/1 each by 10:
28.2
×
10
1
×
10
=
282
10
\frac{28.2 × 10}{1 × 10} = \frac{282}{10}
1 × 10 28.2 × 10 = 10 282
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:
282
10
=
141
5
\frac{282}{10} = \frac{141}{5}
10 282 = 5 141
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 556.2 as a fraction?
What is 62.16 as a fraction?
What is 28.74 as a fraction?
What is 41.1 as a fraction?
What is 83.12 as a fraction?