Q:

What is 3.874 as a fraction?

Accepted Solution

A:
Solution: 3.874 as a fraction is 1937/500 Methods Converting 3.874 to a fraction, Step-by-Step Step 1: The first step to converting 3.874 to a fraction is to re-write 3.874 in the form p/q where p and q both are positive integers. To start with, 3.874 can be written as simply 3.874/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.874, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.874/1 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 3.874/1 each by 1000: 3.874 Γ— 1000 1 Γ— 1000 = 3874 1000 \frac{3.874 Γ— 1000}{1 Γ— 1000} = \frac{3874}{1000} 1 Γ— 1000 3.874 Γ— 1000 ​ = 1000 3874 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3874 1000 = 1937 500 \frac{3874}{1000} = \frac{1937}{500} 1000 3874 ​ = 500 1937 ​ 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 18.22 as a fraction? What is 6.403 as a fraction? What is 52.06 as a fraction? What is 0.519 as a fraction? What is 50.27 as a fraction?