Q:

What is 83.45 as a fraction?

Accepted Solution

A:
Solution: 83.45 as a fraction is 1669/20 Methods Converting 83.45 to a fraction, Step-by-Step Step 1: The first step to converting 83.45 to a fraction is to re-write 83.45 in the form p/q where p and q are both positive integers. To start with, 83.45 can be written as simply 83.45/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 83.45, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 83.45/1 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 83.45/1 each by 100: 83.45 Γ— 100 1 Γ— 100 = 8345 100 \frac{83.45 Γ— 100}{1 Γ— 100} = \frac{8345}{100} 1 Γ— 100 83.45 Γ— 100 ​ = 100 8345 ​ 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: 8345 100 = 1669 20 \frac{8345}{100} = \frac{1669}{20} 100 8345 ​ = 20 1669 ​ 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 20.33 as a fraction? What is 75.6 as a fraction? What is 950.4 as a fraction? What is 0.366 as a fraction? What is 3.133 as a fraction?