Question

Divide the sum of 3/4 and 7/18 by the product of 11/12 and 2/5.

Answer 1

`\bold{3(7)/(66)}`

Explanation:

`\left(\frac34+\frac7{18}\right)/\left((11)/(12)\cdot\frac25\right)\ =\ \left((27)/(36)+(14)/(36)\right)/\left((11)/(6)\cdot\frac15\right)=\\\\\\ =\ (41)/(36)/(11)/(30)\ =\ (41)/(36)*(30)/(11)\ =\ (41)/(6)*(5)/(11)\ =\ (205)/(66)\ =3(7)/(66)`

Answer 2

205/66

Explanation:

3/4 + 7/18 = 41/36

11/12 . 2/5 = 11/30

41/36 : 11/30 = 205/66