Solution: 318.2 as a fraction is 1591/5
Methods
Converting 318.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 318.2 to a fraction is to re-write 318.2 in the form p/q where p and q are both positive integers. To start with, 318.2 can be written as simply 318.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 318.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 318.2/1 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 318.2/1 each by 10:
318.2
×
10
1
×
10
=
3182
10
\frac{318.2 × 10}{1 × 10} = \frac{3182}{10}
1 × 10 318.2 × 10 = 10 3182
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:
3182
10
=
1591
5
\frac{3182}{10} = \frac{1591}{5}
10 3182 = 5 1591
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