Solution: 71.12 as a fraction is 1778/25
Methods
Converting 71.12 to a fraction, Step-by-Step
Step 1:
The first step to converting 71.12 to a fraction is to re-write 71.12 in the form p/q where p and q both are positive integers. To start with, 71.12 can be written as simply 71.12/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 71.12, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 71.12/1 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 71.12/1 each by 100:
71.12
×
100
1
×
100
=
7112
100
\frac{71.12 × 100}{1 × 100} = \frac{7112}{100}
1 × 100 71.12 × 100 = 100 7112
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
7112
100
=
1778
25
\frac{7112}{100} = \frac{1778}{25}
100 7112 = 25 1778
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