Q:

What is 4.146 as a fraction?

Accepted Solution

A:
Solution: 4.146 as a fraction is 2073/500 Methods Converting 4.146 to a fraction, Step-by-Step Step 1: The first step to converting 4.146 to a fraction is to re-write 4.146 in the form p/q where p and q are both positive integers. To start with, 4.146 can be written as simply 4.146/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 4.146, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.146/1 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 4.146/1 each by 1000: 4.146 Γ— 1000 1 Γ— 1000 = 4146 1000 \frac{4.146 Γ— 1000}{1 Γ— 1000} = \frac{4146}{1000} 1 Γ— 1000 4.146 Γ— 1000 ​ = 1000 4146 ​ 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: 4146 1000 = 2073 500 \frac{4146}{1000} = \frac{2073}{500} 1000 4146 ​ = 500 2073 ​ 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 88.33 as a fraction? What is 20.77 as a fraction? What is 810.8 as a fraction? What is 629.5 as a fraction? What is 4.773 as a fraction?