Q:

What is 2.829 as a fraction?

Accepted Solution

A:
Solution: 2.829 as a fraction is 2829/1000 Methods Converting 2.829 to a fraction, Step-by-Step Step 1: The first step to converting 2.829 to a fraction is to re-write 2.829 in the form p/q where p and q are both positive integers. To start with, 2.829 can be written as simply 2.829/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 2.829, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.829/1 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 2.829/1 each by 1000: 2.829 Γ— 1000 1 Γ— 1000 = 2829 1000 \frac{2.829 Γ— 1000}{1 Γ— 1000} = \frac{2829}{1000} 1 Γ— 1000 2.829 Γ— 1000 ​ = 1000 2829 ​ 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: 2829 1000 = 2829 1000 \frac{2829}{1000} = \frac{2829}{1000} 1000 2829 ​ = 1000 2829 ​ 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 782.5 as a fraction? What is 56.89 as a fraction? What is 97.66 as a fraction? What is 316.1 as a fraction? What is 1.172 as a fraction?