Question

Write the quotient for 5/6 ÷ 1/3 and the multiplication equation used to solve for the quotient. A) 2 1/2 5/6 × 3B) 2 1/25/6 × 1/3C) 2/31/3 × 5/6D) 2/33 × 5/6

Answer 1

We can write the quotient as:

`((5)/(6))/((1)/(3))`

We can use the fact that:

`(a)/(b)=a\cdot(1)/(b)`

to transform the quotient into a multiplication.

If b=1/3, then 1/b=3/1.

Then the expression becomes:

`((5)/(6))/((1)/(3))=(5)/(6)\cdot(3)/(1)=(15)/(6)=(5)/(2)=2.5`

The fraction 5/2 can be expressed as mixed number as:

`(5)/(2)=(2\cdot2)/(2)+(1)/(2)=2(1)/(2)`

Answer: the result is 2 1/2 or 2.5.

The quotient becomes the multiplication 5/6 * 3.

[Option A]