Solution: 8.356 as a fraction is 2089/250
Methods
Converting 8.356 to a fraction, Step-by-Step
Step 1:
The first step to converting 8.356 to a fraction is to re-write 8.356 in the form p/q where p and q are both positive integers. To start with, 8.356 can be written as simply 8.356/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 8.356, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.356/1 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 8.356/1 each by 1000:
8.356
×
1000
1
×
1000
=
8356
1000
\frac{8.356 × 1000}{1 × 1000} = \frac{8356}{1000}
1 × 1000 8.356 × 1000 = 1000 8356
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:
8356
1000
=
2089
250
\frac{8356}{1000} = \frac{2089}{250}
1000 8356 = 250 2089
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 6.82 as a fraction?
What is 7.953 as a fraction?
What is 4.504 as a fraction?
What is 1.27 as a fraction?
What is 96.01 as a fraction?