Q:

What is 82.86 as a fraction?

Accepted Solution

A:
Solution: 82.86 as a fraction is 4143/50 Methods Converting 82.86 to a fraction, Step-by-Step Step 1: The first step to converting 82.86 to a fraction is to re-write 82.86 in the form p/q where p and q are both positive integers. To start with, 82.86 can be written as simply 82.86/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 82.86, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 82.86/1 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 82.86/1 each by 100: 82.86 × 100 1 × 100 = 8286 100 \frac{82.86 × 100}{1 × 100} = \frac{8286}{100} 1 × 100 82.86 × 100 ​ = 100 8286 ​ 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: 8286 100 = 4143 50 \frac{8286}{100} = \frac{4143}{50} 100 8286 ​ = 50 4143 ​ 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 249.3 as a fraction? What is 37.51 as a fraction? What is 0.13 as a fraction? What is 411.1 as a fraction? What is 42.91 as a fraction?