What is the value of the numerical expression 5/8-5/12 (3-1/4) + 2/3

Make bottom numbers same

find least common multipules of 8,12,4 and 3

8=2 times 2 times 2

12=2 times 2 times 3

4=2 times 2

3=3

lcm=2 times 2 times 2 times 3=24

5/8 times 3/3=15/24

5/12 times 2/2=10/24

3/1 times 24/24=72/24

1/4 times 6/6=6/24

2/3 times 8/8=16/24

we now have

15/24-10/24 (72/24-6/24) + 16/24

pemdas

simplify parenthasees first

72/24-6/24=66/24

now we have

15/24-10/24 (66/24) + 16/24

multiply

15/24-660/576+16/24

make same bottom number

15/24 times 24/24=360/576

16/24 times 24/24=384/576

360/576-660/576+384/576

84/576

7/48

answer is 7/48