MATH SOLVE

3 months ago

Q:
# What is 62.78 as a fraction?

Accepted Solution

A:

Solution: 62.78 as a fraction is 3139/50
Methods
Converting 62.78 to a fraction, Step-by-Step
Step 1:
The first step to converting 62.78 to a fraction is to re-write 62.78 in the form p/q where p and q both are positive integers. To start with, 62.78 can be written as simply 62.78/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 62.78, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 62.78/1 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 62.78/1 each by 100:
62.78
Γ
100
1
Γ
100
=
6278
100
\frac{62.78 Γ 100}{1 Γ 100} = \frac{6278}{100}
1 Γ 100 62.78 Γ 100 β = 100 6278 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
6278
100
=
3139
50
\frac{6278}{100} = \frac{3139}{50}
100 6278 β = 50 3139 β
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