Question

Perform the indicated equation ​

Answer 1

Answer: 1

Step-by-step explanation:

> to divide by a fraction multiply the reciprocal of it.

14a² 15b²
—— x ------
10b² 21a²

> cancel out the common factor of 2.

7a² 15b²
—— x ------
5b² 21a²

> cancel out the common factor of a² and b².

7 15
—— x ------
5 21

> cancel out the common factor of 3.

7 5
—— x ------
5 7

> cancel out your greatest common factor.

= 1.

Answer 2

1

Step-by-step explanation:

When dividing fractions i use the method KFC(keep flip change) :

Keep the first fraction :

`(14a^(2) )/(10b^(2) )`

Flip the second fraction :

`(15b^(2) )/(21a^(2) )`

Change the function :

÷ → ×

Now write your new equation :

`(14a^(2) )/(10b^(2) )` ×
`(15b^(2) )/(21a^(2) )`

Now multiply the numerators together and the denominators together :

14a² × 15b² = 210a²b²

10b² × 21a² = 210a²b²

Now make this into a fraction again :

210a²b² / 210a²b²

Anything divided by itself is always 1 so :

210a²b² / 210a²b² = 1

Hope this helped and have a good day