Solution: 6.628 as a fraction is 1657/250
Methods
Converting 6.628 to a fraction, Step-by-Step
Step 1:
The first step to converting 6.628 to a fraction is to re-write 6.628 in the form p/q where p and q both are positive integers. To start with, 6.628 can be written as simply 6.628/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 6.628, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.628/1 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 6.628/1 each by 1000:
6.628
×
1000
1
×
1000
=
6628
1000
\frac{6.628 × 1000}{1 × 1000} = \frac{6628}{1000}
1 × 1000 6.628 × 1000 = 1000 6628
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
6628
1000
=
1657
250
\frac{6628}{1000} = \frac{1657}{250}
1000 6628 = 250 1657
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 59.23 as a fraction?
What is 58.38 as a fraction?
What is 65.02 as a fraction?
What is 36.12 as a fraction?
What is 28.61 as a fraction?