Solution: 73.85 as a fraction is 1477/20
Methods
Converting 73.85 to a fraction, Step-by-Step
Step 1:
The first step to converting 73.85 to a fraction is to re-write 73.85 in the form p/q where p and q are both positive integers. To start with, 73.85 can be written as simply 73.85/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 73.85, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 73.85/1 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 73.85/1 each by 100:
73.85
×
100
1
×
100
=
7385
100
\frac{73.85 × 100}{1 × 100} = \frac{7385}{100}
1 × 100 73.85 × 100 = 100 7385
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:
7385
100
=
1477
20
\frac{7385}{100} = \frac{1477}{20}
100 7385 = 20 1477
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 418.3 as a fraction?
What is 707.4 as a fraction?
What is 4.137 as a fraction?
What is 14.6 as a fraction?
What is 6.09 as a fraction?