Final answer:
To calculate how many 2 1/4 meter lengths of tape can be cut from 36 meters of tape, divide 36 by 2 1/4. The answer is 16 lengths of tape.
Step-by-step explanation:
To find out how many 2 1/4 meter lengths of tape can be cut from 36 meters of tape, we need to divide 36 by 2 1/4. The first step is to convert 2 1/4 to an improper fraction, which is 9/4. Then, we can divide 36 by 9/4 by multiplying by the reciprocal of 9/4, which is 4/9. Performing this calculation, we get (36 * 4) / 9 = 144 / 9 = 16.
Therefore, 16 lengths of tape measuring 2 1/4 meters can be cut from a 36-meter long tape.