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

Answer:The simplified form of given expression is 3/5.Step-by-step explanation:The given expression is[tex]\frac{3}{4}\times \frac{4}{5}[/tex]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 =  12Total number of small boxes = 20The required fraction is[tex]Fraction=\frac{\text{Number of common shaded small boxes}}{\text{Total number of small boxes}}[/tex][tex]Fraction=\frac{12}{20}[/tex]Cancel out common factor.[tex]Fraction=\frac{3}{5}[/tex]Therefore, the simplified form of given expression is 3/5.