Solution: 64.5 as a fraction is 129/2
Methods
Converting 64.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 64.5 to a fraction is to re-write 64.5 in the form p/q where p and q are both positive integers. To start with, 64.5 can be written as simply 64.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 64.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 64.5/1 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 64.5/1 each by 10:
64.5
×
10
1
×
10
=
645
10
\frac{64.5 × 10}{1 × 10} = \frac{645}{10}
1 × 10 64.5 × 10 = 10 645
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:
645
10
=
129
2
\frac{645}{10} = \frac{129}{2}
10 645 = 2 129
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