Q:

What is 6.846 as a fraction?

Accepted Solution

A:
Solution: 6.846 as a fraction is 3423/500 Methods Converting 6.846 to a fraction, Step-by-Step Step 1: The first step to converting 6.846 to a fraction is to re-write 6.846 in the form p/q where p and q both are positive integers. To start with, 6.846 can be written as simply 6.846/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 6.846, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.846/1 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 6.846/1 each by 1000: 6.846 Γ— 1000 1 Γ— 1000 = 6846 1000 \frac{6.846 Γ— 1000}{1 Γ— 1000} = \frac{6846}{1000} 1 Γ— 1000 6.846 Γ— 1000 ​ = 1000 6846 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 6846 1000 = 3423 500 \frac{6846}{1000} = \frac{3423}{500} 1000 6846 ​ = 500 3423 ​ 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 732.6 as a fraction? What is 1.434 as a fraction? What is 397.8 as a fraction? What is 43.5 as a fraction? What is 1.369 as a fraction?