MATH SOLVE

3 months ago

Q:
# What is 65.74 as a fraction?

Accepted Solution

A:

Solution: 65.74 as a fraction is 3287/50
Methods
Converting 65.74 to a fraction, Step-by-Step
Step 1:
The first step to converting 65.74 to a fraction is to re-write 65.74 in the form p/q where p and q both are positive integers. To start with, 65.74 can be written as simply 65.74/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 65.74, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 65.74/1 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 65.74/1 each by 100:
65.74
Γ
100
1
Γ
100
=
6574
100
\frac{65.74 Γ 100}{1 Γ 100} = \frac{6574}{100}
1 Γ 100 65.74 Γ 100 β = 100 6574 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
6574
100
=
3287
50
\frac{6574}{100} = \frac{3287}{50}
100 6574 β = 50 3287 β
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