Question

What is the lowest common denominator of:11/5+2/3+1/6​

Answer 1

LCD = 30

Explanation:

`LCD\ of\ (2)/(3)\ and\ (1)/(6)\ is\ 6:\\\\(2)/(3)=(2\cdot2)/(3\cdot2)=(4)/(6)\\\\LCD\ of\ (1)/(6)\ ond\ (11)/(5)\ is\ 30:\\\\(11)/(5)=((11)(6))/((5)(6))=(66)/(30)\\\\(1)/(6)=((1)(5))/((6)(5))=(5)/(30)\\\\(2)/(3)=(4)/(6)=((4)(5))/((6)(5))=(20)/(30)\\\\\text{Therefore:}\\\\(11)/(5)+(2)/(3)+(1)/(6)=(66)/(30)+(20)/(30)+(5)/(30)=(66+20+5)/(30)=(91)/(30)=3(1)/(30)`

Answer 2

30

5 × 6 = 30

3 ×10 = 30

6 × 5 = 30