Solution: 5.936 as a fraction is 742/125
Methods
Converting 5.936 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.936 to a fraction is to re-write 5.936 in the form p/q where p and q are both positive integers. To start with, 5.936 can be written as simply 5.936/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.936, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.936/1 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 5.936/1 each by 1000:
5.936
×
1000
1
×
1000
=
5936
1000
\frac{5.936 × 1000}{1 × 1000} = \frac{5936}{1000}
1 × 1000 5.936 × 1000 = 1000 5936
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:
5936
1000
=
742
125
\frac{5936}{1000} = \frac{742}{125}
1000 5936 = 125 742
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 89.96 as a fraction?
What is 793.2 as a fraction?
What is 75.55 as a fraction?
What is 3.035 as a fraction?
What is 76.1 as a fraction?