Q:

What is 2.844 as a fraction?

Accepted Solution

A:
Solution: 2.844 as a fraction is 711/250 Methods Converting 2.844 to a fraction, Step-by-Step Step 1: The first step to converting 2.844 to a fraction is to re-write 2.844 in the form p/q where p and q are both positive integers. To start with, 2.844 can be written as simply 2.844/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 2.844, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.844/1 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 2.844/1 each by 1000: 2.844 Γ— 1000 1 Γ— 1000 = 2844 1000 \frac{2.844 Γ— 1000}{1 Γ— 1000} = \frac{2844}{1000} 1 Γ— 1000 2.844 Γ— 1000 ​ = 1000 2844 ​ 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: 2844 1000 = 711 250 \frac{2844}{1000} = \frac{711}{250} 1000 2844 ​ = 250 711 ​ 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 5.384 as a fraction? What is 148.5 as a fraction? What is 3.4 as a fraction? What is 5.613 as a fraction? What is 55.9 as a fraction?