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
Click the plus and minus buttons to model Fraction 1 on the left and Fraction 2 on the right. Click "done" when you are done.
Fraction 1 Parts: Shaded: Fraction 2 Parts: Shaded:
To multiply the given fractions graphically, follow these steps:
Step 1: Start by representing the first fraction, 3/4.
- Draw a rectangle or any shape to represent the whole.
- Divide the shape into four equal parts.
- Shade three out of the four parts to represent the numerator (3) in the fraction.
Step 2: Represent the second fraction, 3/5.
- Draw another rectangle or shape to represent the whole.
- Divide the shape into five equal parts.
- Shade three out of the five parts to represent the numerator (3) in the fraction.
Step 3: Multiply the shaded parts.
- Count the total shaded parts in Fraction 1, which is 3 out of 4 parts.
- Count the total shaded parts in Fraction 2, which is 3 out of 5 parts.
- Multiply the two fractions: (3/4) x (3/5).
Step 4: Draw a new shape to represent the result of multiplication.
- Divide this shape into 20 equal parts. (Multiply the denominators: 4 x 5 = 20)
- Shade the number of parts that represent the product of the numerators: 3 x 3 = 9.
You have now represented the multiplication of the given fractions graphically.
To multiply the given fractions graphically, follow the steps below:
1. Start with Fraction 1, which is 3/4. Divide it into 4 equal parts by drawing 4 lines horizontally. Label each part as 1/4, 2/4, 3/4, and 4/4 on the left side of the diagram.
2. Shade in 3 parts out of the 4 to represent the numerator (3) of Fraction 1.
3. Next, move to Fraction 2, which is 3/5. Divide it into 5 equal parts by drawing 5 lines horizontally. Label each part as 1/5, 2/5, 3/5, 4/5, and 5/5 on the right side of the diagram.
4. Shade in 3 parts out of the 5 to represent the numerator (3) of Fraction 2.
5. Now, you have a visual representation of Fraction 1 and Fraction 2.
6. To find the product of the two fractions, count the number of shaded parts in Fraction 1 which is 3, and the number of shaded parts in Fraction 2 which is also 3.
7. Multiply the numerators together: 3 x 3 = 9.
8. Multiply the denominators together: 4 x 5 = 20.
9. Therefore, the result of multiplying the given fractions, 3/4 and 3/5, is 9/20.
By following these steps, you can visually represent and multiply fractions.