Q:

What is 30.66 as a fraction?

Accepted Solution

A:
Solution: 30.66 as a fraction is 1533/50 Methods Converting 30.66 to a fraction, Step-by-Step Step 1: The first step to converting 30.66 to a fraction is to re-write 30.66 in the form p/q where p and q both are positive integers. To start with, 30.66 can be written as simply 30.66/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 30.66, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 30.66/1 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 30.66/1 each by 100: 30.66 × 100 1 × 100 = 3066 100 \frac{30.66 × 100}{1 × 100} = \frac{3066}{100} 1 × 100 30.66 × 100 ​ = 100 3066 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3066 100 = 1533 50 \frac{3066}{100} = \frac{1533}{50} 100 3066 ​ = 50 1533 ​ 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 38.39 as a fraction? What is 44.73 as a fraction? What is 8.2 as a fraction? What is 87.54 as a fraction? What is 9.447 as a fraction?