MATH SOLVE

4 months ago

Q:
# What is 47.76 as a fraction?

Accepted Solution

A:

Solution: 47.76 as a fraction is 1194/25
Methods
Converting 47.76 to a fraction, Step-by-Step
Step 1:
The first step to converting 47.76 to a fraction is to re-write 47.76 in the form p/q where p and q are both positive integers. To start with, 47.76 can be written as simply 47.76/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 47.76, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 47.76/1 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 47.76/1 each by 100:
47.76
Γ
100
1
Γ
100
=
4776
100
\frac{47.76 Γ 100}{1 Γ 100} = \frac{4776}{100}
1 Γ 100 47.76 Γ 100 β = 100 4776 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:
4776
100
=
1194
25
\frac{4776}{100} = \frac{1194}{25}
100 4776 β = 25 1194 β
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