Solution: 84.64 as a fraction is 2116/25
Methods
Converting 84.64 to a fraction, Step-by-Step
Step 1:
The first step to converting 84.64 to a fraction is to re-write 84.64 in the form p/q where p and q both are positive integers. To start with, 84.64 can be written as simply 84.64/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 84.64, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 84.64/1 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 84.64/1 each by 100:
84.64
×
100
1
×
100
=
8464
100
\frac{84.64 × 100}{1 × 100} = \frac{8464}{100}
1 × 100 84.64 × 100 = 100 8464
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
8464
100
=
2116
25
\frac{8464}{100} = \frac{2116}{25}
100 8464 = 25 2116
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