Q:

What is 9.564 as a fraction?

Accepted Solution

A:
Solution: 9.564 as a fraction is 2391/250 Methods Converting 9.564 to a fraction, Step-by-Step Step 1: The first step to converting 9.564 to a fraction is to re-write 9.564 in the form p/q where p and q both are positive integers. To start with, 9.564 can be written as simply 9.564/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 9.564, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.564/1 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 9.564/1 each by 1000: 9.564 Γ— 1000 1 Γ— 1000 = 9564 1000 \frac{9.564 Γ— 1000}{1 Γ— 1000} = \frac{9564}{1000} 1 Γ— 1000 9.564 Γ— 1000 ​ = 1000 9564 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 9564 1000 = 2391 250 \frac{9564}{1000} = \frac{2391}{250} 1000 9564 ​ = 250 2391 ​ 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 31.99 as a fraction? What is 3.347 as a fraction? What is 84.68 as a fraction? What is 40.98 as a fraction? What is 16.7 as a fraction?