Q:

What is 0.267 as a fraction?

Accepted Solution

A:
Solution: 0.267 as a fraction is 267/1000 Methods Converting 0.267 to a fraction, Step-by-Step Step 1: The first step to converting 0.267 to a fraction is to re-write 0.267 in the form p/q where p and q both are positive integers. To start with, 0.267 can be written as simply 0.267/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.267, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.267/1 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 0.267/1 each by 1000: 0.267 Γ— 1000 1 Γ— 1000 = 267 1000 \frac{0.267 Γ— 1000}{1 Γ— 1000} = \frac{267}{1000} 1 Γ— 1000 0.267 Γ— 1000 ​ = 1000 267 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 267 1000 = 267 1000 \frac{267}{1000} = \frac{267}{1000} 1000 267 ​ = 1000 267 ​ 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 56.39 as a fraction? What is 1.355 as a fraction? What is 56.04 as a fraction? What is 56.97 as a fraction? What is 14.25 as a fraction?