Question

Tara has 4 and 4 fifths feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Explain
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. Explain

Answer 1

Tara can cut 12 pieces of 2/5 foot long from her 4 and 4/5 feet of rope. The quotient of 12 shows the number of these pieces she can obtain.

Step-by-step explanation:

Tara has 4 and 4/5 feet of rope.

Part A:

To find out how many 2/5 foot pieces Tara can cut from the rope, we first need to convert Tara's total amount of rope into fifths to match the unit. Since 4 and 4/5 can be written as 24/5, we divide this by 2/5 to find the number of pieces Tara can cut:

24/5 ÷ 2/5 = 24/5 × 5/2 = 12.

Tara can cut 12 pieces each 2/5 foot long from her rope.

Part B:

The quotient of 12 represents the total number of 2/5 foot long pieces that can be cut from Tara's rope. This shows how the total length of rope can be divided into smaller sections based on the piece size.