Q:

What is 3.924 as a fraction?

Accepted Solution

A:
Solution: 3.924 as a fraction is 981/250 Methods Converting 3.924 to a fraction, Step-by-Step Step 1: The first step to converting 3.924 to a fraction is to re-write 3.924 in the form p/q where p and q both are positive integers. To start with, 3.924 can be written as simply 3.924/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.924, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.924/1 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 3.924/1 each by 1000: 3.924 Γ— 1000 1 Γ— 1000 = 3924 1000 \frac{3.924 Γ— 1000}{1 Γ— 1000} = \frac{3924}{1000} 1 Γ— 1000 3.924 Γ— 1000 ​ = 1000 3924 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3924 1000 = 981 250 \frac{3924}{1000} = \frac{981}{250} 1000 3924 ​ = 250 981 ​ 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 84.6 as a fraction? What is 53.18 as a fraction? What is 3.353 as a fraction? What is 18.26 as a fraction? What is 2.679 as a fraction?