Solution: 628.4 as a fraction is 3142/5
Methods
Converting 628.4 to a fraction, Step-by-Step
Step 1:
The first step to converting 628.4 to a fraction is to re-write 628.4 in the form p/q where p and q are both positive integers. To start with, 628.4 can be written as simply 628.4/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 628.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 628.4/1 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 628.4/1 each by 10:
628.4
×
10
1
×
10
=
6284
10
\frac{628.4 × 10}{1 × 10} = \frac{6284}{10}
1 × 10 628.4 × 10 = 10 6284
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:
6284
10
=
3142
5
\frac{6284}{10} = \frac{3142}{5}
10 6284 = 5 3142
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 4.225 as a fraction?
What is 689.1 as a fraction?
What is 1.46 as a fraction?
What is 54.15 as a fraction?
What is 516.2 as a fraction?