Middle School

Jackie cut a 2-yard spool into 5 equal lengths of ribbon.

a. What is the length of each ribbon in yards? Draw a tape diagram to show your thinking.

b. What is the length of each ribbon in feet? Draw a tape diagram to show your thinking.

Answer :

Final answer:

Each ribbon cut from a 2-yard spool into 5 equal parts will be 0.4 yards or 1.2 feet in length. Tape diagrams represent this division into equal parts.

Explanation:

To determine the length of each ribbon when a 2-yard spool is cut into 5 equal lengths, you need to divide the total length by the number of pieces.

  1. 2 yards ÷ 5 = 0.4 yards for each piece.

To represent this with a tape diagram, imagine a line equally divided into 5 sections, with each section representing 0.4 yards.

For the length in feet, since 1 yard equals 3 feet, we multiply the length in yards by 3.

  1. 0.4 yards × 3 feet/yard = 1.2 feet for each piece.

To show this with a tape diagram, you can divide a line into 5 sections with each section representing 1.2 feet.

Answer:

a. [tex]\frac{2}{5}[/tex] yard

b. 1.2 feet

Step-by-step explanation:

a. Jackie cut a 2-yard spool into 5 equal length of ribbon.

We will divide 2 yard by 5 = 2 ÷ 5 = [tex]\frac{2}{5}[/tex] yard

5 units = 2 yard

1 unit = [tex]\frac{2}{5}[/tex] yard

Check : [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{10}{5}[/tex] = 2

b. Length of each ribbon in feet

Since 1 yard = 3 feet

therefore, 2 yard = 3 × 2 = 6 feet

6 feet in to 5 equal part = 6 ÷ 5

= 1.2 feet

check : 1.2 + 1.2 + 1.2 + 1.2 + 1.2 = 6.0 feet

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