MATH SOLVE

3 months ago

Q:
# What is 120.5 as a fraction?

Accepted Solution

A:

Solution: 120.5 as a fraction is 241/2
Methods
Converting 120.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 120.5 to a fraction is to re-write 120.5 in the form p/q where p and q both are positive integers. To start with, 120.5 can be written as simply 120.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 120.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 120.5/1 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 120.5/1 each by 10:
120.5
Γ
10
1
Γ
10
=
1205
10
\frac{120.5 Γ 10}{1 Γ 10} = \frac{1205}{10}
1 Γ 10 120.5 Γ 10 β = 10 1205 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1205
10
=
241
2
\frac{1205}{10} = \frac{241}{2}
10 1205 β = 2 241 β
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