Follow the instructions below to multiply the given fractions graphically.

start fraction, 3, divided by, 4, end fraction, start subscript, Fraction 1, end subscript, times, start fraction, 3, divided by, 5, end fraction, start subscript, Fraction 2, end subscript
Fraction 1
4
3





×
Fraction 2
5
3




1 answer

To multiply the fractions graphically, you can use multiplication of rectangles.

1. Draw a rectangle and divide it into 4 equal parts horizontally.
Label the first part as "1/4" and continue labeling the other parts as "2/4", "3/4", and "4/4".

2. Draw another rectangle and divide it into 5 equal parts horizontally.
Label the first part as "1/5" and continue labeling the other parts as "2/5", "3/5", "4/5", and "5/5".

3. To multiply the fractions, find the intersection of the two labeled parts.
In this case, the labeled part in the first rectangle is "3/4" and the labeled part in the second rectangle is "3/5".

4. The intersection of "3/4" and "3/5" is the common region of both rectangles.
Shade this common region to visually represent the multiplication of the fractions.

The shaded region represents the result of multiplying the fractions (3/4) * (3/5).

You can also calculate the result algebraically by multiplying the numerators together and then multiplying the denominators together. In this case, (3/4) * (3/5) = (3 * 3) / (4 * 5) = 9/20.