Q:

What is 0.117 as a fraction?

Accepted Solution

A:
Solution: 0.117 as a fraction is 117/1000 Methods Converting 0.117 to a fraction, Step-by-Step Step 1: The first step to converting 0.117 to a fraction is to re-write 0.117 in the form p/q where p and q are both positive integers. To start with, 0.117 can be written as simply 0.117/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.117, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.117/1 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 0.117/1 each by 1000: 0.117 Γ— 1000 1 Γ— 1000 = 117 1000 \frac{0.117 Γ— 1000}{1 Γ— 1000} = \frac{117}{1000} 1 Γ— 1000 0.117 Γ— 1000 ​ = 1000 117 ​ 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: 117 1000 = 117 1000 \frac{117}{1000} = \frac{117}{1000} 1000 117 ​ = 1000 117 ​ 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 23.18 as a fraction? What is 31.03 as a fraction? What is 6.042 as a fraction? What is 74.28 as a fraction? What is 99.99 as a fraction?