Q:

What is 3.512 as a fraction?

Accepted Solution

A:
Solution: 3.512 as a fraction is 439/125 Methods Converting 3.512 to a fraction, Step-by-Step Step 1: The first step to converting 3.512 to a fraction is to re-write 3.512 in the form p/q where p and q both are positive integers. To start with, 3.512 can be written as simply 3.512/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.512, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.512/1 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 3.512/1 each by 1000: 3.512 Γ— 1000 1 Γ— 1000 = 3512 1000 \frac{3.512 Γ— 1000}{1 Γ— 1000} = \frac{3512}{1000} 1 Γ— 1000 3.512 Γ— 1000 ​ = 1000 3512 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3512 1000 = 439 125 \frac{3512}{1000} = \frac{439}{125} 1000 3512 ​ = 125 439 ​ 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 1.879 as a fraction? What is 9.667 as a fraction? What is 4.703 as a fraction? What is 62.25 as a fraction? What is 3.288 as a fraction?