Solution: 36.84 as a fraction is 921/25
Methods
Converting 36.84 to a fraction, Step-by-Step
Step 1:
The first step to converting 36.84 to a fraction is to re-write 36.84 in the form p/q where p and q both are positive integers. To start with, 36.84 can be written as simply 36.84/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 36.84, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 36.84/1 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 36.84/1 each by 100:
36.84
×
100
1
×
100
=
3684
100
\frac{36.84 × 100}{1 × 100} = \frac{3684}{100}
1 × 100 36.84 × 100 = 100 3684
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3684
100
=
921
25
\frac{3684}{100} = \frac{921}{25}
100 3684 = 25 921
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