MATH SOLVE

1 month ago

Q:
# What is 114.5 as a fraction?

Accepted Solution

A:

Solution: 114.5 as a fraction is 229/2
Methods
Converting 114.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 114.5 to a fraction is to re-write 114.5 in the form p/q where p and q both are positive integers. To start with, 114.5 can be written as simply 114.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 114.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 114.5/1 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 114.5/1 each by 10:
114.5
Γ
10
1
Γ
10
=
1145
10
\frac{114.5 Γ 10}{1 Γ 10} = \frac{1145}{10}
1 Γ 10 114.5 Γ 10 β = 10 1145 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1145
10
=
229
2
\frac{1145}{10} = \frac{229}{2}
10 1145 β = 2 229 β
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