Solution: 6.312 as a fraction is 789/125
Methods
Converting 6.312 to a fraction, Step-by-Step
Step 1:
The first step to converting 6.312 to a fraction is to re-write 6.312 in the form p/q where p and q are both positive integers. To start with, 6.312 can be written as simply 6.312/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 6.312, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.312/1 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 6.312/1 each by 1000:
6.312
×
1000
1
×
1000
=
6312
1000
\frac{6.312 × 1000}{1 × 1000} = \frac{6312}{1000}
1 × 1000 6.312 × 1000 = 1000 6312
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:
6312
1000
=
789
125
\frac{6312}{1000} = \frac{789}{125}
1000 6312 = 125 789
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 850.2 as a fraction?
What is 2.29 as a fraction?
What is 80.77 as a fraction?
What is 8.298 as a fraction?
What is 51.86 as a fraction?