Solution: 145.6 as a fraction is 728/5
Methods
Converting 145.6 to a fraction, Step-by-Step
Step 1:
The first step to converting 145.6 to a fraction is to re-write 145.6 in the form p/q where p and q are both positive integers. To start with, 145.6 can be written as simply 145.6/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 145.6, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 145.6/1 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 145.6/1 each by 10:
145.6
×
10
1
×
10
=
1456
10
\frac{145.6 × 10}{1 × 10} = \frac{1456}{10}
1 × 10 145.6 × 10 = 10 1456
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:
1456
10
=
728
5
\frac{1456}{10} = \frac{728}{5}
10 1456 = 5 728
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