Q:

What is 3.178 as a fraction?

Accepted Solution

A:
Solution: 3.178 as a fraction is 1589/500 Methods Converting 3.178 to a fraction, Step-by-Step Step 1: The first step to converting 3.178 to a fraction is to re-write 3.178 in the form p/q where p and q are both positive integers. To start with, 3.178 can be written as simply 3.178/1 to technically be written as a fraction. Step 2: Next, we will count the number of fractional digits after the decimal point in 3.178, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.178/1 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 3.178/1 each by 1000: 3.178 Γ— 1000 1 Γ— 1000 = 3178 1000 \frac{3.178 Γ— 1000}{1 Γ— 1000} = \frac{3178}{1000} 1 Γ— 1000 3.178 Γ— 1000 ​ = 1000 3178 ​ Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer: 3178 1000 = 1589 500 \frac{3178}{1000} = \frac{1589}{500} 1000 3178 ​ = 500 1589 ​ Convert Other Values to Fractions Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below: What is 1.511 as a fraction? What is 748.7 as a fraction? What is 923.5 as a fraction? What is 767.4 as a fraction? What is 74.63 as a fraction?