Q:

What is 0.031 as a fraction?

Accepted Solution

A:
Solution: 0.031 as a fraction is 31/1000 Methods Converting 0.031 to a fraction, Step-by-Step Step 1: The first step to converting 0.031 to a fraction is to re-write 0.031 in the form p/q where p and q both are positive integers. To start with, 0.031 can be written as simply 0.031/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 0.031, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.031/1 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 0.031/1 each by 1000: 0.031 Γ— 1000 1 Γ— 1000 = 31 1000 \frac{0.031 Γ— 1000}{1 Γ— 1000} = \frac{31}{1000} 1 Γ— 1000 0.031 Γ— 1000 ​ = 1000 31 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 31 1000 = 31 1000 \frac{31}{1000} = \frac{31}{1000} 1000 31 ​ = 1000 31 ​ 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 170.9 as a fraction? What is 5.366 as a fraction? What is 86.37 as a fraction? What is 184.1 as a fraction? What is 533.9 as a fraction?