Question

2 1/4 - 2/3. A. 1 3/7. B. 1 7/12. C 2 3/7. D 2 11/12

Answer 1

B.)
`1(7)/(12)`

Explanation:

`2(1)/(4) -(2)/(3) </p><p>Then multiply 4 by 2, then add 1.</p><p>frac{9}{4} - (2)/(3) \\`

Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.

`(3)/(3) *(9)/(4) - (4)/(4) * (2)/(3)`

to get:
`(27)/(12) - (8)/(12)`.

now the denominators is the same on both sides, just subtract the numerator.

27 - 8 = 19

Now simply:
`(19)/(12) = 1(7)/(12)`.

Your final answer is 1\frac{7}{12}[/tex].