Evaluate the expression shown below and write your answer as a fraction in simplest form.

Question

start fraction, 3, divided by, 4, end fraction, minus, one sixth
4
3
​
−
6
1
​

Answer 1

To subtract fractions, you need to have a common denominator. In this case, the common denominator is 12.

So, the expression becomes:

(start fraction 3/4) - (1/6)

To make the denominators match, we need to convert 3/4 to have a denominator of 12:

(3/4) * (3/3) = 9/12

Now we can subtract:

(9/12) - (1/6)

Both fractions now have a denominator of 12, so we subtract the numerators:

(9 - 2) / 12 = 7/12

So, the simplified answer is 7/12.