Q:

What is 3.655 as a fraction?

Accepted Solution

A:
Solution: 3.655 as a fraction is 731/200 Methods Converting 3.655 to a fraction, Step-by-Step Step 1: The first step to converting 3.655 to a fraction is to re-write 3.655 in the form p/q where p and q are both positive integers. To start with, 3.655 can be written as simply 3.655/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.655, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.655/1 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 3.655/1 each by 1000: 3.655 Γ— 1000 1 Γ— 1000 = 3655 1000 \frac{3.655 Γ— 1000}{1 Γ— 1000} = \frac{3655}{1000} 1 Γ— 1000 3.655 Γ— 1000 ​ = 1000 3655 ​ 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: 3655 1000 = 731 200 \frac{3655}{1000} = \frac{731}{200} 1000 3655 ​ = 200 731 ​ Convert Other Values to Fractions Become 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 80.86 as a fraction? What is 7.467 as a fraction? What is 3.919 as a fraction? What is 710.1 as a fraction?