Rachel gave 1/4 of a pie to each of 5 friends. How many pies did she give to her friends in all? Write the mixed number.
Ms. Fuller has 2 2/6 pies left over from her party. Write the number of pies left over as a fraction greater than 1.
How do I arrive at the answer. I know the answer.
1/4 * 5 = 5/4 = 1 1/4
2 2/6 = (2 * 6) + 2 = 14/6
14/6 = 7/3 :D
To find the number of pies Rachel gave to her friends, we can multiply the fraction 1/4 by the number of friends she gave it to, which is 5.
1/4 * 5 = 5/4
To write this as a mixed number, we divide the numerator (5) by the denominator (4). The quotient becomes the whole number, and the remainder becomes the numerator of the fraction.
Dividing 5 by 4, we get a quotient of 1 and a remainder of 1. So the mixed number is 1 1/4.
Similarly, to write the number of pies left over as a fraction greater than 1, we add the whole number part (2) to the fraction part (2/6).
2 + 2/6 = 2 2/6
Since the numerator (2) is greater than the denominator (6), it's already in the form of a fraction greater than 1.
To arrive at these answers, you can use the following steps:
1. Multiply the fraction by the whole number (if given) or the number of friends (if given).
2. Divide the numerator by the denominator to get the whole number part and the remainder.
3. Construct the mixed number using the whole number, remainder, and denominator.