MATH SOLVE

4 months ago

Q:
# What is 4.56 as a fraction?

Accepted Solution

A:

Solution: 4.56 as a fraction is 114/25
Methods
Converting 4.56 to a fraction, Step-by-Step
Step 1:
The first step to converting 4.56 to a fraction is to re-write 4.56 in the form p/q where p and q are both positive integers. To start with, 4.56 can be written as simply 4.56/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 4.56, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.56/1 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 4.56/1 each by 100:
4.56
Γ
100
1
Γ
100
=
456
100
\frac{4.56 Γ 100}{1 Γ 100} = \frac{456}{100}
1 Γ 100 4.56 Γ 100 β = 100 456 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:
456
100
=
114
25
\frac{456}{100} = \frac{114}{25}
100 456 β = 25 114 β
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