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
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.
To multiply the given fractions graphically, follow these steps:
1. Draw a rectangle and divide it into four equal parts horizontally. Label each part with the number 4, representing the numerator of Fraction 1.
2. Within each part, draw another rectangle and divide it into five equal parts vertically. Label each part with the number 5, representing the numerator of Fraction 2.
3. Shade in three parts of the first rectangle and label it with the number 3, representing the denominator of Fraction 1.
4. Shade in three parts of each small rectangle inside the larger rectangle and label the shaded parts with the number 3, representing the denominator of Fraction 2.
5. Count the total number of shaded parts in the larger rectangle, which is 3 shaded parts out of 4 total parts.
6. Write the final answer as a fraction, with 3 as the numerator and 4 as the denominator. So, the product of the given fractions is 3/4.
To multiply the given fractions graphically, you can use a rectangular grid. Follow these steps:
Step 1: Draw a rectangular grid and label the rows and columns. The number of rows should be equal to the numerator of the first fraction (4 in this case), and the number of columns should be equal to the numerator of the second fraction (5 in this case).
Step 2: Divide each row into equal parts. Since the denominator of the first fraction is 4, divide each row into 4 equal parts.
Step 3: Divide each column into equal parts. Since the denominator of the second fraction is 3, divide each column into 3 equal parts.
Step 4: Shade the grid cells where the numerator of Fraction 1 (3) and the numerator of Fraction 2 (3) intersect. In this case, it will be the cell in the 3rd row and the 3rd column.
Step 5: Count the number of shaded cells. In this case, there is only one shaded cell.
Step 6: The numerator of the resulting fraction is the number of shaded cells (1 in this case), and the denominator is the total number of cells in the grid (4 x 3 = 12 in this case).
Therefore, the product of the given fractions, graphically, is 1/12.