Q:

What is 7.118 as a fraction?

Accepted Solution

A:
Solution: 7.118 as a fraction is 3559/500 Methods Converting 7.118 to a fraction, Step-by-Step Step 1: The first step to converting 7.118 to a fraction is to re-write 7.118 in the form p/q where p and q both are positive integers. To start with, 7.118 can be written as simply 7.118/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 7.118, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.118/1 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 7.118/1 each by 1000: 7.118 × 1000 1 × 1000 = 7118 1000 \frac{7.118 × 1000}{1 × 1000} = \frac{7118}{1000} 1 × 1000 7.118 × 1000 ​ = 1000 7118 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 7118 1000 = 3559 500 \frac{7118}{1000} = \frac{3559}{500} 1000 7118 ​ = 500 3559 ​ 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 50.45 as a fraction? What is 21.92 as a fraction? What is 38.27 as a fraction? What is 9.885 as a fraction? What is 24.87 as a fraction?