MATH SOLVE

4 months ago

Q:
# What is 726.4 as a fraction?

Accepted Solution

A:

Solution: 726.4 as a fraction is 3632/5MethodsConverting 726.4 to a fraction, Step-by-StepStep 1:The first step to converting 726.4 to a fraction is to re-write 726.4 in the form p/q where p and q are both positive integers. To start with, 726.4 can be written as simply 726.4/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 726.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 726.4/1 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 726.4/1 each by 10:726.4×101×10=726410\frac{726.4 × 10}{1 × 10} = \frac{7264}{10}1×10726.4×10=107264Step 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:726410=36325\frac{7264}{10} = \frac{3632}{5}107264=53632Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 2.79 as a fraction?What is 116.1 as a fraction?What is 73.57 as a fraction?What is 77.31 as a fraction?What is 10.87 as a fraction?