Q:

What is 3.125 as a fraction?

Accepted Solution

A:
Solution: 3.125 as a fraction is 25/8 Methods Converting 3.125 to a fraction, Step-by-Step Step 1: The first step to converting 3.125 to a fraction is to re-write 3.125 in the form p/q where p and q both are positive integers. To start with, 3.125 can be written as simply 3.125/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.125, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.125/1 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 3.125/1 each by 1000: 3.125 Γ— 1000 1 Γ— 1000 = 3125 1000 \frac{3.125 Γ— 1000}{1 Γ— 1000} = \frac{3125}{1000} 1 Γ— 1000 3.125 Γ— 1000 ​ = 1000 3125 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out: 3125 1000 = 25 8 \frac{3125}{1000} = \frac{25}{8} 1000 3125 ​ = 8 25 ​ 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 95.25 as a fraction? What is 31.59 as a fraction? What is 46.35 as a fraction? What is 9.948 as a fraction? What is 64.32 as a fraction?