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

Answer

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

3/40

Step-by-step explanation:

We are given an expression .

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

×

×

Taking the LCM to get:

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