Q:

What is 7.286 as a fraction?

Accepted Solution

A:
Solution: 7.286 as a fraction is 3643/500 Methods Converting 7.286 to a fraction, Step-by-Step Step 1: The first step to converting 7.286 to a fraction is to re-write 7.286 in the form p/q where p and q both are positive integers. To start with, 7.286 can be written as simply 7.286/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 7.286, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.286/1 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 7.286/1 each by 1000: 7.286 Γ— 1000 1 Γ— 1000 = 7286 1000 \frac{7.286 Γ— 1000}{1 Γ— 1000} = \frac{7286}{1000} 1 Γ— 1000 7.286 Γ— 1000 ​ = 1000 7286 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 7286 1000 = 3643 500 \frac{7286}{1000} = \frac{3643}{500} 1000 7286 ​ = 500 3643 ​ 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 63.38 as a fraction? What is 756.1 as a fraction? What is 7.192 as a fraction? What is 94.8 as a fraction? What is 4.176 as a fraction?