Q:

What is 7.198 as a fraction?

Accepted Solution

A:
Solution: 7.198 as a fraction is 3599/500 Methods Converting 7.198 to a fraction, Step-by-Step Step 1: The first step to converting 7.198 to a fraction is to re-write 7.198 in the form p/q where p and q are both positive integers. To start with, 7.198 can be written as simply 7.198/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 7.198, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.198/1 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 7.198/1 each by 1000: 7.198 Γ— 1000 1 Γ— 1000 = 7198 1000 \frac{7.198 Γ— 1000}{1 Γ— 1000} = \frac{7198}{1000} 1 Γ— 1000 7.198 Γ— 1000 ​ = 1000 7198 ​ 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: 7198 1000 = 3599 500 \frac{7198}{1000} = \frac{3599}{500} 1000 7198 ​ = 500 3599 ​ 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 720.4 as a fraction? What is 3.319 as a fraction? What is 5.38 as a fraction? What is 62.94 as a fraction? What is 64.7 as a fraction?