Question

simplify using appropriate property 6/7 ×8/5 ×7/6 ×5/8​

Answer 1

Step-by-step explanation:

ans is 1

6/7 will get cancelled out with 7/6 similarly

8/5 will be cancelled by 5/8

Answer 2

Given: 6/7 ×8/5 ×7/6 ×5/8​

To find: Simplification using appropriate property

Solution: The reciprocal of a fraction has the denominator of the original number on top and the numerator below. It basically the original fraction fillped upside down.

In the given expression, we can see two pairs of reciprocals.

6/7 is the reciprocal of 7/6 and 8/5 is the reciprocal of 5/8.

We know that when we multiply a reciprocal of a number with itself the solution is 1.

Hence, 6/7 × 7/6 = 1 and 8/5 × 5/8 = 1.

So, 6/7 ×8/5 ×7/6 ×5/8​

= (6/7 × 7/6) × (8/5 × 5/8)

= 1 × 1

= 1

6/7 ×8/5 ×7/6 ×5/8 = 1.