Solution: 516.6 as a fraction is 2583/5
Methods
Converting 516.6 to a fraction, Step-by-Step
Step 1:
The first step to converting 516.6 to a fraction is to re-write 516.6 in the form p/q where p and q both are positive integers. To start with, 516.6 can be written as simply 516.6/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 516.6, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 516.6/1 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 516.6/1 each by 10:
516.6
×
10
1
×
10
=
5166
10
\frac{516.6 × 10}{1 × 10} = \frac{5166}{10}
1 × 10 516.6 × 10 = 10 5166
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5166
10
=
2583
5
\frac{5166}{10} = \frac{2583}{5}
10 5166 = 5 2583
Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 696.4 as a fraction?
What is 6.842 as a fraction?
What is 8.784 as a fraction?
What is 81.59 as a fraction?
What is 6.722 as a fraction?