Q:

What is 218.7 as a fraction?

Accepted Solution

A:
Solution: 218.7 as a fraction is 2187/10MethodsConverting 218.7 to a fraction, Step-by-StepStep 1:The first step to converting 218.7 to a fraction is to re-write 218.7 in the form p/q where p and q both are positive integers. To start with, 218.7 can be written as simply 218.7/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 218.7, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 218.7/1 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 218.7/1 each by 10:218.7×101×10=218710\frac{218.7 × 10}{1 × 10} = \frac{2187}{10}1×10218.7×10​=102187​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:218710=218710\frac{2187}{10} = \frac{2187}{10}102187​=102187​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 99.18 as a fraction?What is 0.692 as a fraction?What is 4.595 as a fraction?What is 3.852 as a fraction?What is 91.42 as a fraction?