What is 3.385 as a fraction?

Accepted Solution

Solution: 3.385 as a fraction is 677/200MethodsConverting 3.385 to a fraction, Step-by-StepStep 1:The first step to converting 3.385 to a fraction is to re-write 3.385 in the form p/q where p and q both are positive integers. To start with, 3.385 can be written as simply 3.385/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 3.385, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.385/1 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 3.385/1 each by 1000:3.385×10001×1000=33851000\frac{3.385 × 1000}{1 × 1000} = \frac{3385}{1000}1×10003.385×1000​=10003385​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:33851000=677200\frac{3385}{1000} = \frac{677}{200}10003385​=200677​Become a Pro at Converting to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 721.4 as a fraction?What is 7.251 as a fraction?What is 550.6 as a fraction?What is 46.2 as a fraction?What is 94.65 as a fraction?