Answer to Question #135201 in Algebra for Faith

Question

Solve the problem diagrammatically.
1. 4(2/3)÷1(1/6).
2. 1(1/4)÷2/3.
3. 2/5÷1/3.
4. 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 $3/4 \div5/6=9/10$