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jody has a rectangular piece of fabric 7 8 yard long and 4 5 yard wide a what is the area of the piece of fabric b jody de

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Jody has a rectangular piece of fabric 7/8 yard long and 4/5 yard wide. A) What is the area of the piece of fabric? B) Jody decides to share the piece of fabric equally with her friend. What is the area of the piece of fabric each person gets?

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Answer to a math question Jody has a rectangular piece of fabric 7/8 yard long and 4/5 yard wide. A) What is the area of the piece of fabric? B) Jody decides to share the piece of fabric equally with her friend. What is the area of the piece of fabric each person gets?

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83 Answers

Solution:
A) Calculate the area of the piece of fabric.
1. Given dimensions of the fabric:
- Length:

\frac{7}{8}

yard
- Width:

\frac{4}{5}

yard

2. Use the formula for the area of a rectangle:

\text{Area} = \text{Length} \times \text{Width}

\text{Area} = \frac{7}{8} \times \frac{4}{5}

3. Multiply the fractions:
- Multiply numerators:

7 \times 4 = 28

- Multiply denominators:

8 \times 5 = 40

4. Area of the fabric:

\text{Area} = \frac{28}{40}

5. Simplify the fraction:

\frac{28}{40} = \frac{7}{10}

B) Calculate the area each person gets when shared equally.
1. Divide the area by 2:

\text{Area each person gets} = \frac{\frac{7}{10}}{2}

2. Rewrite the division as multiplication by reciprocal:

\text{Area each person gets} = \frac{7}{10} \times \frac{1}{2}

3. Perform the multiplication:
- Multiply numerators:

7 \times 1 = 7

- Multiply denominators:

10 \times 2 = 20

4. Area each person gets:

\text{Area each person gets} = \frac{7}{20}

Answer:
The area of the piece of fabric is

\frac{7}{10}

square yards. Each person gets a piece of fabric with an area of

\frac{7}{20}

square yards.

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