Q:

What is 16.82 as a fraction?

Accepted Solution

A:
Solution: 16.82 as a fraction is 841/50 Methods Converting 16.82 to a fraction, Step-by-Step Step 1: The first step to converting 16.82 to a fraction is to re-write 16.82 in the form p/q where p and q are both positive integers. To start with, 16.82 can be written as simply 16.82/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 16.82, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 16.82/1 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 16.82/1 each by 100: 16.82 × 100 1 × 100 = 1682 100 \frac{16.82 × 100}{1 × 100} = \frac{1682}{100} 1 × 100 16.82 × 100 ​ = 100 1682 ​ 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: 1682 100 = 841 50 \frac{1682}{100} = \frac{841}{50} 100 1682 ​ = 50 841 ​ 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 95.09 as a fraction? What is 67.6 as a fraction? What is 499.6 as a fraction? What is 65.17 as a fraction? What is 8.305 as a fraction?