Final answer:
To find out how many 2/5 foot pieces Tara can cut from 4 4/5 feet of rope, one must convert the mixed number to an improper fraction, divide by the size of each piece, and then simplify. Tara can cut 12 such pieces from the rope.
Step-by-step explanation:
To figure out how many 2/5 foot pieces can be cut from 4 4/5 feet of rope, we need to divide the total length of rope by the size of each piece. First, we convert the mixed number 4 4/5 to an improper fraction: 4 × 5 = 20, then 20 + 4 = 24, so 4 4/5 equals 24/5. Now, we perform the division: (24/5) ÷ (2/5) equals (24/5) × (5/2) (since dividing by a fraction is the same as multiplying by its reciprocal), which simplifies to 24/2 after the fives cancel out. Finally, 24 ÷ 2 equals 12. Therefore, Tara can cut 12 pieces of rope, each measuring 2/5 foot.