MATH SOLVE

1 month ago

Q:
# What is 278.6 as a fraction?

Accepted Solution

A:

Solution: 278.6 as a fraction is 1393/5MethodsConverting 278.6 to a fraction, Step-by-StepStep 1:The first step to converting 278.6 to a fraction is to re-write 278.6 in the form p/q where p and q are both positive integers. To start with, 278.6 can be written as simply 278.6/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 278.6, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 278.6/1 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 278.6/1 each by 10:278.6×101×10=278610\frac{278.6 × 10}{1 × 10} = \frac{2786}{10}1×10278.6×10=102786Step 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:278610=13935\frac{2786}{10} = \frac{1393}{5}102786=51393Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 11.1 as a fraction?What is 20.08 as a fraction?What is 219.7 as a fraction?What is 13.33 as a fraction?What is 9.19 as a fraction?