Solution: 19.85 as a fraction is 397/20
Methods
Converting 19.85 to a fraction, Step-by-Step
Step 1:
The first step to converting 19.85 to a fraction is to re-write 19.85 in the form p/q where p and q both are positive integers. To start with, 19.85 can be written as simply 19.85/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 19.85, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 19.85/1 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 19.85/1 each by 100:
19.85
×
100
1
×
100
=
1985
100
\frac{19.85 × 100}{1 × 100} = \frac{1985}{100}
1 × 100 19.85 × 100 = 100 1985
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1985
100
=
397
20
\frac{1985}{100} = \frac{397}{20}
100 1985 = 20 397
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