Answer to Question #208835 in Algebra for Nonkululeko

Question

Solve the problem diagrammatically

a. 4 2/3 ÷ 1 1/6

b. 1 1/4 ÷ 2/3

c. 2/5 ÷ 1/3

d. 3/4 ÷ 5/6

Answer 1

1

We see that How many

fits in

?

2.

How many

fits in

?

3.

Our common denominator is 15,

so, we create a circle of 15 slices.

2/5 takes up 6 of these slices and 1/3 takes up 5 of these slices.

So all of our 1/3 can fit into 2/5.

Plus an additional 1,

therefore 1 and 1/5

4.

Our common denominator is 12,

so, we create a circle of 12 slices.

5/6 takes up 10 of these slices and 3/4 takes up 9 of these slices.

So all of our 5/6 can fit into 3/4.

We can see that 9 of the 10 blue slices will fit into the space occupied by blue slices.

so $3/4 \div5/6=9/10$