Solution: 56.4 as a fraction is 282/5
Methods
Converting 56.4 to a fraction, Step-by-Step
Step 1:
The first step to converting 56.4 to a fraction is to re-write 56.4 in the form p/q where p and q both are positive integers. To start with, 56.4 can be written as simply 56.4/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 56.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 56.4/1 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 56.4/1 each by 10:
56.4
×
10
1
×
10
=
564
10
\frac{56.4 × 10}{1 × 10} = \frac{564}{10}
1 × 10 56.4 × 10 = 10 564
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
564
10
=
282
5
\frac{564}{10} = \frac{282}{5}
10 564 = 5 282
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