Q:

What is 9.798 as a fraction?

Accepted Solution

A:
Solution: 9.798 as a fraction is 4899/500 Methods Converting 9.798 to a fraction, Step-by-Step Step 1: The first step to converting 9.798 to a fraction is to re-write 9.798 in the form p/q where p and q both are positive integers. To start with, 9.798 can be written as simply 9.798/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 9.798, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.798/1 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 9.798/1 each by 1000: 9.798 Γ— 1000 1 Γ— 1000 = 9798 1000 \frac{9.798 Γ— 1000}{1 Γ— 1000} = \frac{9798}{1000} 1 Γ— 1000 9.798 Γ— 1000 ​ = 1000 9798 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 9798 1000 = 4899 500 \frac{9798}{1000} = \frac{4899}{500} 1000 9798 ​ = 500 4899 ​ 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 2.543 as a fraction? What is 845.5 as a fraction? What is 18.1 as a fraction? What is 10.17 as a fraction? What is 65.75 as a fraction?