Q:

What is 3.855 as a fraction?

Accepted Solution

A:
Solution: 3.855 as a fraction is 771/200 Methods Converting 3.855 to a fraction, Step-by-Step Step 1: The first step to converting 3.855 to a fraction is to re-write 3.855 in the form p/q where p and q are both positive integers. To start with, 3.855 can be written as simply 3.855/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.855, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.855/1 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 3.855/1 each by 1000: 3.855 Γ— 1000 1 Γ— 1000 = 3855 1000 \frac{3.855 Γ— 1000}{1 Γ— 1000} = \frac{3855}{1000} 1 Γ— 1000 3.855 Γ— 1000 ​ = 1000 3855 ​ 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: 3855 1000 = 771 200 \frac{3855}{1000} = \frac{771}{200} 1000 3855 ​ = 200 771 ​ 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 90.4 as a fraction? What is 59.28 as a fraction? What is 25.49 as a fraction? What is 81.17 as a fraction? What is 765.6 as a fraction?