Respuesta :

Answer:

1

Step-by-step explanation:

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

Keep the first fraction :

[tex]\frac{14a^{2} }{10b^{2} }[/tex]

Flip the second fraction :

[tex]\frac{15b^{2} }{21a^{2} }[/tex]

Change the function :

÷ → ×

Now write your new equation :

[tex]\frac{14a^{2} }{10b^{2} }[/tex] ×  [tex]\frac{15b^{2} }{21a^{2} }[/tex]

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

duckkee
Answer: 1

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.