Question

Which expressions have a quotient of 4/5a. 5/2 ÷ 1/2b.6/9 ÷ 5/6c. 3/6 ÷ 2/5d.7 1/2 ÷ 6e.1 1/3 ÷ 1 2/3

Answer 1

B

`(6)/(9)/(5)/(6)`

Step-by-step explanation:

We want to identify the expression that have a quotient of 4/5;

Let us solve each of the expression to identify the correct one;

a. 5/2 ÷ 1/2

`(5)/(2)*(2)/(1)=5`

b.6/9 ÷ 5/6

`(6)/(9)*(6)/(5)=(36)/(45)=(4)/(5)`

c. 3/6 ÷ 2/5

`(3)/(6)*(5)/(2)=(15)/(12)=(5)/(4)`

d.7 1/2 ÷ 6

`7(1)/(2)*(1)/(6)=(15)/(2)*(1)/(6)=(5)/(4)`

e.1 1/3 ÷ 1 2/3​

`1(1)/(3)*(1)/(1(2)/(3))=(4)/(3)*(4)/(5)=(16)/(15)`

So, from the solution of each options, the only expression that gives 4/5 is B

b.6/9 ÷ 5/6