tara has 4 4/5 peice of rope How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope
To find out how many 2/5 foot pieces can be cut from 4 and 4/5 feet of rope, we can follow these steps:
Step 1: Convert the mixed number into an improper fraction.
4 and 4/5 can be converted to an improper fraction as follows:
4 + (4/5) = (4 * 5 + 4) / 5 = 24/5
Step 2: Divide the total length of the rope by the length of each 2/5 foot piece.
(24/5) ÷ (2/5)
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(24/5) × (5/2)
Step 3: Simplify the resulting fraction, if possible.
The numerator and the denominator have a common factor of 5, so we can simplify by canceling out the common factor:
(24 ÷ 1) × (1 ÷ 2) = (24 × 1) ÷ (1 × 2) = 24/2 = 12
Therefore, Tara can cut 12 pieces of 2/5 foot length from 4 and 4/5 feet of rope.