MATH SOLVE

1 month ago

Q:
# What is 977.6 as a fraction?

Accepted Solution

A:

Solution: 977.6 as a fraction is 4888/5
Methods
Converting 977.6 to a fraction, Step-by-Step
Step 1:
The first step to converting 977.6 to a fraction is to re-write 977.6 in the form p/q where p and q both are positive integers. To start with, 977.6 can be written as simply 977.6/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 977.6, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 977.6/1 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 977.6/1 each by 10:
977.6
Γ
10
1
Γ
10
=
9776
10
\frac{977.6 Γ 10}{1 Γ 10} = \frac{9776}{10}
1 Γ 10 977.6 Γ 10 β = 10 9776 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
9776
10
=
4888
5
\frac{9776}{10} = \frac{4888}{5}
10 9776 β = 5 4888 β
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