Solution: 5.065 as a fraction is 1013/200
Methods
Converting 5.065 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.065 to a fraction is to re-write 5.065 in the form p/q where p and q both are positive integers. To start with, 5.065 can be written as simply 5.065/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.065, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.065/1 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 5.065/1 each by 1000:
5.065
×
1000
1
×
1000
=
5065
1000
\frac{5.065 × 1000}{1 × 1000} = \frac{5065}{1000}
1 × 1000 5.065 × 1000 = 1000 5065
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5065
1000
=
1013
200
\frac{5065}{1000} = \frac{1013}{200}
1000 5065 = 200 1013
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 82.04 as a fraction?
What is 49.38 as a fraction?
What is 8.689 as a fraction?
What is 57.9 as a fraction?
What is 6.863 as a fraction?