Q:

What is 3.745 as a fraction?

Accepted Solution

A:
Solution: 3.745 as a fraction is 749/200MethodsConverting 3.745 to a fraction, Step-by-StepStep 1:The first step to converting 3.745 to a fraction is to re-write 3.745 in the form p/q where p and q both are positive integers. To start with, 3.745 can be written as simply 3.745/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 3.745, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.745/1 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 3.745/1 each by 1000:3.745×10001×1000=37451000\frac{3.745 × 1000}{1 × 1000} = \frac{3745}{1000}1×10003.745×1000​=10003745​Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:37451000=749200\frac{3745}{1000} = \frac{749}{200}10003745​=200749​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 25.01 as a fraction?What is 5.445 as a fraction?What is 8.389 as a fraction?What is 34.34 as a fraction?What is 36.78 as a fraction?