Solution: 232.5 as a fraction is 465/2
Methods
Converting 232.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 232.5 to a fraction is to re-write 232.5 in the form p/q where p and q are both positive integers. To start with, 232.5 can be written as simply 232.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 232.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 232.5/1 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 232.5/1 each by 10:
232.5
×
10
1
×
10
=
2325
10
\frac{232.5 × 10}{1 × 10} = \frac{2325}{10}
1 × 10 232.5 × 10 = 10 2325
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:
2325
10
=
465
2
\frac{2325}{10} = \frac{465}{2}
10 2325 = 2 465
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