MATH SOLVE

3 months ago

Q:
# What is 35.11 as a fraction?

Accepted Solution

A:

Solution: 35.11 as a fraction is 3511/100
Methods
Converting 35.11 to a fraction, Step-by-Step
Step 1:
The first step to converting 35.11 to a fraction is to re-write 35.11 in the form p/q where p and q are both positive integers. To start with, 35.11 can be written as simply 35.11/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 35.11, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 35.11/1 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 35.11/1 each by 100:
35.11
Γ
100
1
Γ
100
=
3511
100
\frac{35.11 Γ 100}{1 Γ 100} = \frac{3511}{100}
1 Γ 100 35.11 Γ 100 β = 100 3511 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:
3511
100
=
3511
100
\frac{3511}{100} = \frac{3511}{100}
100 3511 β = 100 3511 β
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