Question

Explain how to compute 3/4 x 4/5 using one diagram.

Answer 1

The simplified form of given expression is 3/5.

Explanation:

The given expression is

`(3)/(4)* (4)/(5)`

We need to find the product of two factions using diagram.

For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.

For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.

Now combined both boxes and shown below.

From the below figure it is clear that

The number of common shaded small boxes = 12

Total number of small boxes = 20

The required fraction is

`Fraction=\frac{\text{Number of common shaded small boxes}}{\text{Total number of small boxes}}`

`Fraction=(12)/(20)`

Cancel out common factor.

`Fraction=(3)/(5)`

Therefore, the simplified form of given expression is 3/5.