MATH SOLVE

3 months ago

Q:
# What is 52.56 as a fraction?

Accepted Solution

A:

Solution: 52.56 as a fraction is 1314/25
Methods
Converting 52.56 to a fraction, Step-by-Step
Step 1:
The first step to converting 52.56 to a fraction is to re-write 52.56 in the form p/q where p and q are both positive integers. To start with, 52.56 can be written as simply 52.56/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 52.56, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 52.56/1 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 52.56/1 each by 100:
52.56
Γ
100
1
Γ
100
=
5256
100
\frac{52.56 Γ 100}{1 Γ 100} = \frac{5256}{100}
1 Γ 100 52.56 Γ 100 β = 100 5256 β
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:
5256
100
=
1314
25
\frac{5256}{100} = \frac{1314}{25}
100 5256 β = 25 1314 β
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