Solution: 510.4 as a fraction is 2552/5
Methods
Converting 510.4 to a fraction, Step-by-Step
Step 1:
The first step to converting 510.4 to a fraction is to re-write 510.4 in the form p/q where p and q are both positive integers. To start with, 510.4 can be written as simply 510.4/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 510.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 510.4/1 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 510.4/1 each by 10:
510.4
×
10
1
×
10
=
5104
10
\frac{510.4 × 10}{1 × 10} = \frac{5104}{10}
1 × 10 510.4 × 10 = 10 5104
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:
5104
10
=
2552
5
\frac{5104}{10} = \frac{2552}{5}
10 5104 = 5 2552
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 581.8 as a fraction?
What is 20.3 as a fraction?
What is 7.653 as a fraction?
What is 41.4 as a fraction?
What is 217.1 as a fraction?