Draw rectangles to represent each integer, then divide them into the fractional parts indicated in the problem. Part (a) is done as an example. Homework Help ✎
How many one-thirds are in 3? That is, what is 3 ÷
How many one-fourths are in 5? That is, what is 5 ÷
How many one-sixths are in 3? That is, what is 3 ÷
How many one-fifths are in 6? That is, what is 6 ÷
As you can see in the figure above, each rectangle represents 1, and each 1 is divided into three parts.
If you count the thirds represented, you will find the answer to part (a).
Try drawing a diagram as modeled in part (a).
It may help to know that there are 4 one-fourths in 1.
Can you find how many are in 5?
There are 20 fourths in 5.
Can you count the one-sixths in the three rectangles?
The quotient is 30.