Solution: 500.5 as a fraction is 1001/2
Methods
Converting 500.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 500.5 to a fraction is to re-write 500.5 in the form p/q where p and q both are positive integers. To start with, 500.5 can be written as simply 500.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 500.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 500.5/1 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 500.5/1 each by 10:
500.5
×
10
1
×
10
=
5005
10
\frac{500.5 × 10}{1 × 10} = \frac{5005}{10}
1 × 10 500.5 × 10 = 10 5005
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5005
10
=
1001
2
\frac{5005}{10} = \frac{1001}{2}
10 5005 = 2 1001
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 6.516 as a fraction?
What is 9.966 as a fraction?
What is 9.2 as a fraction?
What is 438.8 as a fraction?
What is 45.48 as a fraction?