Q:

What is 0.109 as a fraction?

Accepted Solution

A:
Solution: 0.109 as a fraction is 109/1000 Methods Converting 0.109 to a fraction, Step-by-Step Step 1: The first step to converting 0.109 to a fraction is to re-write 0.109 in the form p/q where p and q both are positive integers. To start with, 0.109 can be written as simply 0.109/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.109, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.109/1 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 0.109/1 each by 1000: 0.109 Γ— 1000 1 Γ— 1000 = 109 1000 \frac{0.109 Γ— 1000}{1 Γ— 1000} = \frac{109}{1000} 1 Γ— 1000 0.109 Γ— 1000 ​ = 1000 109 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 109 1000 = 109 1000 \frac{109}{1000} = \frac{109}{1000} 1000 109 ​ = 1000 109 ​ 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 9.912 as a fraction? What is 9.78 as a fraction? What is 211.7 as a fraction? What is 6.496 as a fraction? What is 47.35 as a fraction?