MATH SOLVE

3 months ago

Q:
# What is 87.66 as a fraction?

Accepted Solution

A:

Solution: 87.66 as a fraction is 4383/50
Methods
Converting 87.66 to a fraction, Step-by-Step
Step 1:
The first step to converting 87.66 to a fraction is to re-write 87.66 in the form p/q where p and q both are positive integers. To start with, 87.66 can be written as simply 87.66/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 87.66, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 87.66/1 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 87.66/1 each by 100:
87.66
×
100
1
×
100
=
8766
100
\frac{87.66 × 100}{1 × 100} = \frac{8766}{100}
1 × 100 87.66 × 100 = 100 8766
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
8766
100
=
4383
50
\frac{8766}{100} = \frac{4383}{50}
100 8766 = 50 4383
Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 3.609 as a fraction?
What is 92.29 as a fraction?
What is 0.07 as a fraction?
What is 882.3 as a fraction?
What is 637.1 as a fraction?