Q:

What is 827.5 as a fraction?

Accepted Solution

A:
Solution: 827.5 as a fraction is 1655/2MethodsConverting 827.5 to a fraction, Step-by-StepStep 1:The first step to converting 827.5 to a fraction is to re-write 827.5 in the form p/q where p and q are both positive integers. To start with, 827.5 can be written as simply 827.5/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 827.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 827.5/1 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 827.5/1 each by 10:827.5×101×10=827510\frac{827.5 × 10}{1 × 10} = \frac{8275}{10}1×10827.5×10​=108275​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:827510=16552\frac{8275}{10} = \frac{1655}{2}108275​=21655​Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 52.14 as a fraction?What is 1.524 as a fraction?What is 33.95 as a fraction?What is 38.11 as a fraction?What is 32.35 as a fraction?