Q:

What is 31.78 as a fraction?

Accepted Solution

A:
Solution: 31.78 as a fraction is 1589/50 Methods Converting 31.78 to a fraction, Step-by-Step Step 1: The first step to converting 31.78 to a fraction is to re-write 31.78 in the form p/q where p and q are both positive integers. To start with, 31.78 can be written as simply 31.78/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 31.78, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31.78/1 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 31.78/1 each by 100: 31.78 Γ— 100 1 Γ— 100 = 3178 100 \frac{31.78 Γ— 100}{1 Γ— 100} = \frac{3178}{100} 1 Γ— 100 31.78 Γ— 100 ​ = 100 3178 ​ 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: 3178 100 = 1589 50 \frac{3178}{100} = \frac{1589}{50} 100 3178 ​ = 50 1589 ​ 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 198.2 as a fraction? What is 88.73 as a fraction? What is 34.2 as a fraction? What is 8.971 as a fraction? What is 56.25 as a fraction?