Express 4/-7 as a equivalent rational number with denomenator .

(1) 84 (2) -28

Answer:
We have rational number As: $\frac{4}{- 7}$ ,Now expressed As:

1 ) denominator = 84 
First we divide this denominator ( 84 ) by our given denominator ( - 7 ) , As: $\frac{84}{-7}$ =  - 12 

Now multiply and divide by -14 to our given rational number As:

= $\frac{4}{- 7}$ $\times \frac{- 12}{- 12}$

= $\frac{- 48}{84}$                       ( Ans)

2) Denominator = -28
First we divide this denominator ( - 28 ) by our given denominator ( - 7 ) , As : $\frac{- 28}{- 7}$ =  4

Now multiply and divide by 4 to our given rational number As :

= $\frac{4}{- 7}$ $\times \frac{4}{4}$

= $\frac{16}{- 28}$               ( Ans)