MATH SOLVE

3 months ago

Q:
# What is 27.72 as a fraction?

Accepted Solution

A:

Solution: 27.72 as a fraction is 693/25
Methods
Converting 27.72 to a fraction, Step-by-Step
Step 1:
The first step to converting 27.72 to a fraction is to re-write 27.72 in the form p/q where p and q both are positive integers. To start with, 27.72 can be written as simply 27.72/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 27.72, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 27.72/1 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 27.72/1 each by 100:
27.72
Γ
100
1
Γ
100
=
2772
100
\frac{27.72 Γ 100}{1 Γ 100} = \frac{2772}{100}
1 Γ 100 27.72 Γ 100 β = 100 2772 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2772
100
=
693
25
\frac{2772}{100} = \frac{693}{25}
100 2772 β = 25 693 β
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