Question

Simplify. 7/8+(−2/3)5/6 Enter your answer, in simplest form, in the boxes.

Answer 1

3/40

Explanation:

We are given an expression
`(7)/(8) + ((-(2)/(3)) )/(((5)/(6)) )`.

To solve this expression, we will first start solving within the brackets and take reciprocal of the denominator (
`(5)/(6)`) to get:

`=(7)/(8) + (-(2)/(3) )` ×
`(6)/(5)`

`=(7)/(8) + (-2` ×
`(2)/(5)`

`=(7)/(8) + (-(4)/(5) )`

`=(7)/(8) - (4)/(5)`

Taking the LCM to get:

`=(35-32)/(40)`

`=(3)/(40)`

Therefore, 3/40 is the simplest form of the given expression.

Answer 2

3/40

Explanation

Simplify.

7/8+(−2/3)5/6 = 7/8 + (-2/3 ÷ 5/6)

= 7/8 + (-2/3 × 6/5)

= 7/8 + (-2×6)/(3×5)

= 7/8 + -12/15

= 7/8 - 4/5

= {(7×5) - (8×4)}/40

= (35-32)/40

= 3/40