Solution: 83.11 as a fraction is 8311/100
Methods
Converting 83.11 to a fraction, Step-by-Step
Step 1:
The first step to converting 83.11 to a fraction is to re-write 83.11 in the form p/q where p and q both are positive integers. To start with, 83.11 can be written as simply 83.11/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 83.11, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 83.11/1 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 83.11/1 each by 100:
83.11
×
100
1
×
100
=
8311
100
\frac{83.11 × 100}{1 × 100} = \frac{8311}{100}
1 × 100 83.11 × 100 = 100 8311
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
8311
100
=
8311
100
\frac{8311}{100} = \frac{8311}{100}
100 8311 = 100 8311
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 45.52 as a fraction?
What is 83.37 as a fraction?
What is 87.21 as a fraction?
What is 14.39 as a fraction?
What is 340.5 as a fraction?