Q:

What is 7.758 as a fraction?

Accepted Solution

A:
Solution: 7.758 as a fraction is 3879/500 Methods Converting 7.758 to a fraction, Step-by-Step Step 1: The first step to converting 7.758 to a fraction is to re-write 7.758 in the form p/q where p and q are both positive integers. To start with, 7.758 can be written as simply 7.758/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 7.758, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.758/1 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 7.758/1 each by 1000: 7.758 Γ— 1000 1 Γ— 1000 = 7758 1000 \frac{7.758 Γ— 1000}{1 Γ— 1000} = \frac{7758}{1000} 1 Γ— 1000 7.758 Γ— 1000 ​ = 1000 7758 ​ 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: 7758 1000 = 3879 500 \frac{7758}{1000} = \frac{3879}{500} 1000 7758 ​ = 500 3879 ​ 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 896.1 as a fraction? What is 6.548 as a fraction? What is 13.53 as a fraction? What is 82.93 as a fraction? What is 85.13 as a fraction?