simplify; 2/3 plus sign 1/4 x 5/6?

2/3 + (1/4 x 5/6)
2/3 + 5/24
16/24 + 5/24
21/24 = 7/8
OPTIONS a. and c.

2/3 + 1/4 x 5/6 ........first multiply
2/3 + 5/24 ......now get a common denominator, 24
(2/3)(8/8) + 5/24
16/24 + 5/24 ....now just add the numerators
21/24 ....simplify by dividing by 3
ans: 7/8

2/3+5/24=16/24+5/24=21/24=7/8

C

=2/3+5/24
=(16+5)/24
=21/24
=7/8
Answer is option a because the question is simplify, u should simplify as far as u can.

2/3 + 1/4 x 5/6
= 2/3 + (1 x 5)/(4 x 6)
= 2/3 + 5/24
= 16/24 + 5/24
= (16 + 5)/24
= 21/24
= (21 ÷ 3)/(24 ÷ 3)
= 7/8

∴ the answer is a. 7/8

2/3 + 1/4 x 5/6

First make a common denononator

3 x 4 x 6 = 72

Now you have to do the Numerators too

2 x 4 x 6 = 48

1 x 3 x 6 = 3 x 6 = 18

5 x 3 x 4 = 60

so the simplification is => 2/3 + 1/4 x 5/6 = 48/72 + 18/72 x 60/72 = 24/36 + 9/36 x 30/36 = 8/12 + 3/12 x 10/12

Final Simplification: 8/12 + 3/12 x 10/12