Q:

What is 0.115 as a fraction?

Accepted Solution

A:
Solution: 0.115 as a fraction is 23/200 Methods Converting 0.115 to a fraction, Step-by-Step Step 1: The first step to converting 0.115 to a fraction is to re-write 0.115 in the form p/q where p and q are both positive integers. To start with, 0.115 can be written as simply 0.115/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.115, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.115/1 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 0.115/1 each by 1000: 0.115 Γ— 1000 1 Γ— 1000 = 115 1000 \frac{0.115 Γ— 1000}{1 Γ— 1000} = \frac{115}{1000} 1 Γ— 1000 0.115 Γ— 1000 ​ = 1000 115 ​ 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: 115 1000 = 23 200 \frac{115}{1000} = \frac{23}{200} 1000 115 ​ = 200 23 ​ 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 265.8 as a fraction? What is 47.93 as a fraction? What is 284.5 as a fraction? What is 534.8 as a fraction? What is 8.064 as a fraction?