Q:

What is 30.11 as a fraction?

Accepted Solution

A:
Solution: 30.11 as a fraction is 3011/100 Methods Converting 30.11 to a fraction, Step-by-Step Step 1: The first step to converting 30.11 to a fraction is to re-write 30.11 in the form p/q where p and q are both positive integers. To start with, 30.11 can be written as simply 30.11/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 30.11, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 30.11/1 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 30.11/1 each by 100: 30.11 Γ— 100 1 Γ— 100 = 3011 100 \frac{30.11 Γ— 100}{1 Γ— 100} = \frac{3011}{100} 1 Γ— 100 30.11 Γ— 100 ​ = 100 3011 ​ 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: 3011 100 = 3011 100 \frac{3011}{100} = \frac{3011}{100} 100 3011 ​ = 100 3011 ​ 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 86.08 as a fraction? What is 9.183 as a fraction? What is 49.04 as a fraction? What is 9.136 as a fraction? What is 39.36 as a fraction?