Question

3 1/4 - 3 1/6 uhmmm yeahh

Answer 1

Given the Subtraction:

`3(1)/(4)-3(1)/(6)`

You can identify that the denominators are different, then, you need to follow these steps in order to find the Difference (the result of the Subtraction):

1. Find the Least Common Denominator (LCD):

- Decompose the denominators into their Prime Factors:

`\begin{gathered} 4=2\cdot2=2^2 \\ 6=2\cdot3 \end{gathered}`

- Multiply the common and non-common factors with the largest exponents:

`LCD=2^2\cdot3=12`

2. Divide the LCD by each original denominator and multiply the Quotient by the corresponding numerator:

`\begin{gathered} =3(1\cdot3)/(12)-3(1\cdot2)/(12) \\ \\ =3(3)/(12)-3(2)/(12) \end{gathered}`

3. Subtract the whole number parts and then subtract the fractions. You get:

`\begin{gathered} =0(3-2)/(12) \\ \\ =(1)/(12) \end{gathered}`

Hence, the answer is:

`=(1)/(12)`