Q:

What is 107.8 as a fraction?

Accepted Solution

A:
Solution: 107.8 as a fraction is 539/5 Methods Converting 107.8 to a fraction, Step-by-Step Step 1: The first step to converting 107.8 to a fraction is to re-write 107.8 in the form p/q where p and q both are positive integers. To start with, 107.8 can be written as simply 107.8/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 107.8, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 107.8/1 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 107.8/1 each by 10: 107.8 Γ— 10 1 Γ— 10 = 1078 10 \frac{107.8 Γ— 10}{1 Γ— 10} = \frac{1078}{10} 1 Γ— 10 107.8 Γ— 10 ​ = 10 1078 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 1078 10 = 539 5 \frac{1078}{10} = \frac{539}{5} 10 1078 ​ = 5 539 ​ Become a Pro at Converting to Fractions Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below: What is 927.8 as a fraction? What is 951.1 as a fraction? What is 36.65 as a fraction? What is 85.29 as a fraction? What is 8.353 as a fraction?