Q:

What is 498.9 as a fraction?

Accepted Solution

A:
Solution: 498.9 as a fraction is 4989/10 Methods Converting 498.9 to a fraction, Step-by-Step Step 1: The first step to converting 498.9 to a fraction is to re-write 498.9 in the form p/q where p and q are both positive integers. To start with, 498.9 can be written as simply 498.9/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 498.9, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 498.9/1 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 498.9/1 each by 10: 498.9 Γ— 10 1 Γ— 10 = 4989 10 \frac{498.9 Γ— 10}{1 Γ— 10} = \frac{4989}{10} 1 Γ— 10 498.9 Γ— 10 ​ = 10 4989 ​ 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: 4989 10 = 4989 10 \frac{4989}{10} = \frac{4989}{10} 10 4989 ​ = 10 4989 ​ 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 13.1 as a fraction? What is 6.691 as a fraction? What is 17.02 as a fraction? What is 56.7 as a fraction? What is 495.2 as a fraction?