Q:

What is 6.814 as a fraction?

Accepted Solution

A:
Solution: 6.814 as a fraction is 3407/500 Methods Converting 6.814 to a fraction, Step-by-Step Step 1: The first step to converting 6.814 to a fraction is to re-write 6.814 in the form p/q where p and q both are positive integers. To start with, 6.814 can be written as simply 6.814/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 6.814, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.814/1 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 6.814/1 each by 1000: 6.814 Γ— 1000 1 Γ— 1000 = 6814 1000 \frac{6.814 Γ— 1000}{1 Γ— 1000} = \frac{6814}{1000} 1 Γ— 1000 6.814 Γ— 1000 ​ = 1000 6814 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 6814 1000 = 3407 500 \frac{6814}{1000} = \frac{3407}{500} 1000 6814 ​ = 500 3407 ​ 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 96.94 as a fraction? What is 9.04 as a fraction? What is 94.7 as a fraction? What is 111.3 as a fraction? What is 93.69 as a fraction?