Q:

What is 3.694 as a fraction?

Accepted Solution

A:
Solution: 3.694 as a fraction is 1847/500 Methods Converting 3.694 to a fraction, Step-by-Step Step 1: The first step to converting 3.694 to a fraction is to re-write 3.694 in the form p/q where p and q both are positive integers. To start with, 3.694 can be written as simply 3.694/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.694, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.694/1 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 3.694/1 each by 1000: 3.694 Γ— 1000 1 Γ— 1000 = 3694 1000 \frac{3.694 Γ— 1000}{1 Γ— 1000} = \frac{3694}{1000} 1 Γ— 1000 3.694 Γ— 1000 ​ = 1000 3694 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3694 1000 = 1847 500 \frac{3694}{1000} = \frac{1847}{500} 1000 3694 ​ = 500 1847 ​ 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 995.3 as a fraction? What is 905.1 as a fraction? What is 2.763 as a fraction? What is 976.6 as a fraction? What is 18.24 as a fraction?