Q:

What is 9.722 as a fraction?

Accepted Solution

A:
Solution: 9.722 as a fraction is 4861/500 Methods Converting 9.722 to a fraction, Step-by-Step Step 1: The first step to converting 9.722 to a fraction is to re-write 9.722 in the form p/q where p and q both are positive integers. To start with, 9.722 can be written as simply 9.722/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 9.722, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.722/1 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 9.722/1 each by 1000: 9.722 Γ— 1000 1 Γ— 1000 = 9722 1000 \frac{9.722 Γ— 1000}{1 Γ— 1000} = \frac{9722}{1000} 1 Γ— 1000 9.722 Γ— 1000 ​ = 1000 9722 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 9722 1000 = 4861 500 \frac{9722}{1000} = \frac{4861}{500} 1000 9722 ​ = 500 4861 ​ 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 76.08 as a fraction? What is 794.9 as a fraction? What is 119.8 as a fraction? What is 70.4 as a fraction? What is 116.5 as a fraction?