Question

15 1/3 ÷ 3 5/6 A. 45 6/9 B. 5 1/4 c . 4 d. 4 1/3

Answer 1

To compute 15 1/3 ÷ 3 5/6, first transform the mixed numbers into fractions, as follows:

`15(1)/(3)=(15\cdot3+1)/(3)=(46)/(3)`
`3(5)/(6)=(3\cdot6+5)/(6)=(23)/(6)`

Then, 15 1/3 ÷ 3 5/6 = 46/3 ÷ 23/6. Dividing by a fraction is equivalent to multiply by its inverse, then 46/3 ÷ 23/6 = 46/3 x 6/23:

`(46)/(3)\cdot(6)/(23)=(46)/(23)\cdot(6)/(3)=2\cdot2=4`