Solution: 57.85 as a fraction is 1157/20
Methods
Converting 57.85 to a fraction, Step-by-Step
Step 1:
The first step to converting 57.85 to a fraction is to re-write 57.85 in the form p/q where p and q are both positive integers. To start with, 57.85 can be written as simply 57.85/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 57.85, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 57.85/1 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 57.85/1 each by 100:
57.85
×
100
1
×
100
=
5785
100
\frac{57.85 × 100}{1 × 100} = \frac{5785}{100}
1 × 100 57.85 × 100 = 100 5785
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:
5785
100
=
1157
20
\frac{5785}{100} = \frac{1157}{20}
100 5785 = 20 1157
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