Q:

What is 394.4 as a fraction?

Accepted Solution

A:
Solution: 394.4 as a fraction is 1972/5MethodsConverting 394.4 to a fraction, Step-by-StepStep 1:The first step to converting 394.4 to a fraction is to re-write 394.4 in the form p/q where p and q are both positive integers. To start with, 394.4 can be written as simply 394.4/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 394.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 394.4/1 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 394.4/1 each by 10:394.4×101×10=394410\frac{394.4 × 10}{1 × 10} = \frac{3944}{10}1×10394.4×10​=103944​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:394410=19725\frac{3944}{10} = \frac{1972}{5}103944​=51972​Convert Other Values to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 719.4 as a fraction?What is 9.844 as a fraction?What is 1.842 as a fraction?What is 9.967 as a fraction?What is 6.16 as a fraction?