MATH SOLVE

3 months ago

Q:
# What is 486.3 as a fraction?

Accepted Solution

A:

Solution: 486.3 as a fraction is 4863/10
Methods
Converting 486.3 to a fraction, Step-by-Step
Step 1:
The first step to converting 486.3 to a fraction is to re-write 486.3 in the form p/q where p and q are both positive integers. To start with, 486.3 can be written as simply 486.3/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 486.3, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 486.3/1 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 486.3/1 each by 10:
486.3
Γ
10
1
Γ
10
=
4863
10
\frac{486.3 Γ 10}{1 Γ 10} = \frac{4863}{10}
1 Γ 10 486.3 Γ 10 β = 10 4863 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:
4863
10
=
4863
10
\frac{4863}{10} = \frac{4863}{10}
10 4863 β = 10 4863 β
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