Q:

What is 11.14 as a fraction?

Accepted Solution

A:
Solution: 11.14 as a fraction is 557/50 Methods Converting 11.14 to a fraction, Step-by-Step Step 1: The first step to converting 11.14 to a fraction is to re-write 11.14 in the form p/q where p and q both are positive integers. To start with, 11.14 can be written as simply 11.14/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 11.14, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11.14/1 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 11.14/1 each by 100: 11.14 Γ— 100 1 Γ— 100 = 1114 100 \frac{11.14 Γ— 100}{1 Γ— 100} = \frac{1114}{100} 1 Γ— 100 11.14 Γ— 100 ​ = 100 1114 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 1114 100 = 557 50 \frac{1114}{100} = \frac{557}{50} 100 1114 ​ = 50 557 ​ 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 3.91 as a fraction? What is 7.212 as a fraction? What is 95.41 as a fraction? What is 1.222 as a fraction? What is 67.28 as a fraction?