Q:

What is 3.985 as a fraction?

Accepted Solution

A:
Solution: 3.985 as a fraction is 797/200 Methods Converting 3.985 to a fraction, Step-by-Step Step 1: The first step to converting 3.985 to a fraction is to re-write 3.985 in the form p/q where p and q both are positive integers. To start with, 3.985 can be written as simply 3.985/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.985, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.985/1 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 3.985/1 each by 1000: 3.985 × 1000 1 × 1000 = 3985 1000 \frac{3.985 × 1000}{1 × 1000} = \frac{3985}{1000} 1 × 1000 3.985 × 1000 ​ = 1000 3985 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3985 1000 = 797 200 \frac{3985}{1000} = \frac{797}{200} 1000 3985 ​ = 200 797 ​ 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 46.74 as a fraction? What is 2.628 as a fraction? What is 69.39 as a fraction? What is 4.061 as a fraction? What is 0.907 as a fraction?