Question

What is 5/12 × 6/35



please evaluate!

Answer 1

`(1)/(14)`

Explanation:

`(5)/(12) \cdot (6)/(35)`

Once

`\boxed{ (a)/(b) \cdot (c)/(d) = (ac)/(bd) }`

`(5)/(12) \cdot (6)/(35) = (5\cdot 6)/(12 \cdot 35) = (30)/(420) = (1)/(14)`

Answer 2

Explanation:

You can do this without cancelation to start with.

5*6 / 12 * 35 = 30 / 420 = 1/14

However you can cancel twice.

first cancel 5 into 35 that gives 7 where the 35 was

6 / (7 * 12)

Now you can cancel 6 into 12

1 / (7 *2)

1/14

Same answer.