Show how to divide 2 3/4 rectangular candy bars so that the three friends may share them equally. What fractional part of the candy bar will they receive ??
(2 3/4) / 3
(11/4) * (1/3 = 11/12
To divide 2 3/4 rectangular candy bars equally among three friends, you need to follow these steps:
Step 1: Convert the mixed number 2 3/4 to an improper fraction.
- Multiply the whole number (2) by the denominator (4), then add the numerator (3).
- Divide the result by the denominator.
- 2 * 4 + 3 = 11
- 11/4
Step 2: Divide the total number of candy bars (11/4) by the number of friends (3).
- To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
- 11/4 ÷ 3/1 = 11/4 * 1/3 = 11/12
Step 3: Simplify the resulting fraction (if possible).
- In this case, 11/12 is already in its simplified form.
Therefore, each friend will receive 11/12 of a candy bar.