Q:

What is 86.75 as a fraction?

Accepted Solution

A:
Solution: 86.75 as a fraction is 347/4MethodsConverting 86.75 to a fraction, Step-by-StepStep 1:The first step to converting 86.75 to a fraction is to re-write 86.75 in the form p/q where p and q both are positive integers. To start with, 86.75 can be written as simply 86.75/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 86.75, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 86.75/1 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 86.75/1 each by 100:86.75×1001×100=8675100\frac{86.75 × 100}{1 × 100} = \frac{8675}{100}1×10086.75×100​=1008675​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:8675100=3474\frac{8675}{100} = \frac{347}{4}1008675​=4347​Become a Pro at Converting to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 21.83 as a fraction?What is 178.2 as a fraction?What is 151.8 as a fraction?What is 26.21 as a fraction?What is 5.064 as a fraction?