Q:

What is 256.8 as a fraction?

Accepted Solution

A:
Solution: 256.8 as a fraction is 1284/5MethodsConverting 256.8 to a fraction, Step-by-StepStep 1:The first step to converting 256.8 to a fraction is to re-write 256.8 in the form p/q where p and q are both positive integers. To start with, 256.8 can be written as simply 256.8/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 256.8, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 256.8/1 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 256.8/1 each by 10:256.8×101×10=256810\frac{256.8 × 10}{1 × 10} = \frac{2568}{10}1×10256.8×10​=102568​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:256810=12845\frac{2568}{10} = \frac{1284}{5}102568​=51284​Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 7.929 as a fraction?What is 32.87 as a fraction?What is 66.24 as a fraction?What is 92.14 as a fraction?What is 93.95 as a fraction?