MATH SOLVE

1 month ago

Q:
# What is 81.14 as a fraction?

Accepted Solution

A:

Solution: 81.14 as a fraction is 4057/50
Methods
Converting 81.14 to a fraction, Step-by-Step
Step 1:
The first step to converting 81.14 to a fraction is to re-write 81.14 in the form p/q where p and q are both positive integers. To start with, 81.14 can be written as simply 81.14/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 81.14, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 81.14/1 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 81.14/1 each by 100:
81.14
Γ
100
1
Γ
100
=
8114
100
\frac{81.14 Γ 100}{1 Γ 100} = \frac{8114}{100}
1 Γ 100 81.14 Γ 100 β = 100 8114 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:
8114
100
=
4057
50
\frac{8114}{100} = \frac{4057}{50}
100 8114 β = 50 4057 β
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