Q:

What is 7.856 as a fraction?

Accepted Solution

A:
Solution: 7.856 as a fraction is 982/125MethodsConverting 7.856 to a fraction, Step-by-StepStep 1:The first step to converting 7.856 to a fraction is to re-write 7.856 in the form p/q where p and q are both positive integers. To start with, 7.856 can be written as simply 7.856/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 7.856, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.856/1 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 7.856/1 each by 1000:7.856×10001×1000=78561000\frac{7.856 × 1000}{1 × 1000} = \frac{7856}{1000}1×10007.856×1000​=10007856​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:78561000=982125\frac{7856}{1000} = \frac{982}{125}10007856​=125982​Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 9.656 as a fraction?What is 7.767 as a fraction?What is 4.703 as a fraction?What is 594.7 as a fraction?What is 2.584 as a fraction?