Q:

What is 85.78 as a fraction?

Accepted Solution

A:
Solution: 85.78 as a fraction is 4289/50MethodsConverting 85.78 to a fraction, Step-by-StepStep 1:The first step to converting 85.78 to a fraction is to re-write 85.78 in the form p/q where p and q both are positive integers. To start with, 85.78 can be written as simply 85.78/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 85.78, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.78/1 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 85.78/1 each by 100:85.78×1001×100=8578100\frac{85.78 × 100}{1 × 100} = \frac{8578}{100}1×10085.78×100​=1008578​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:8578100=428950\frac{8578}{100} = \frac{4289}{50}1008578​=504289​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 6.406 as a fraction?What is 964.3 as a fraction?What is 98.83 as a fraction?What is 804.8 as a fraction?What is 73.3 as a fraction?