Q:

What is 4.114 as a fraction?

Accepted Solution

A:
Solution: 4.114 as a fraction is 2057/500 Methods Converting 4.114 to a fraction, Step-by-Step Step 1: The first step to converting 4.114 to a fraction is to re-write 4.114 in the form p/q where p and q both are positive integers. To start with, 4.114 can be written as simply 4.114/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 4.114, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.114/1 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 4.114/1 each by 1000: 4.114 Γ— 1000 1 Γ— 1000 = 4114 1000 \frac{4.114 Γ— 1000}{1 Γ— 1000} = \frac{4114}{1000} 1 Γ— 1000 4.114 Γ— 1000 ​ = 1000 4114 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 4114 1000 = 2057 500 \frac{4114}{1000} = \frac{2057}{500} 1000 4114 ​ = 500 2057 ​ 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 78.7 as a fraction? What is 8.664 as a fraction? What is 180.8 as a fraction? What is 34.17 as a fraction? What is 164.9 as a fraction?