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podryga [215]
2 years ago
3

Sjon mixed 3 3/8 cups of red grapes with 4 1/2 cups of green grapes. He then divided the grapes into bags with 1/2 cup of mixed

grapes in each. How many bags of grapes will Sjon have?
PLS answer in mixed number faction
Mathematics
2 answers:
tresset_1 [31]2 years ago
3 0

3 3/8 + 4 1/2 =

get a common denominator

3 3/8 + 4 4/8 = 7 7/8

7 7/8 divided by 1/2

change the mixed number to an improper fraction

(8*7+7)/8 = 63/8

63/8 divided by 1/2

copy dot flip

63/8 * 2/1

63/4 =

15 3/4 bags of grapes

tresset_1 [31]2 years ago
3 0

<u>Answer:</u>

<u>15\frac{3}{4} bags</u>

<u>Step-by-step explanation:</u>

We know,

the number of cups of red grapes mixed by Sjon = 3\frac{3}{8}; and

the number of cups of green grapes mixed by Sjon = 4\frac{1}{2}

So we will add these fractions and then divide by \frac{1}{2} to get the total number of bags of grapes Sjon will have.

3\frac{3}{8} + 4\frac{1}{2}

=\frac{27}{8} + \frac{9}{2}

=\frac{54+74}{16}

= \frac{126}{16} = 7\frac{7}{8} cups

Divide 7\frac{7}{8} by \frac{1}{2}:

7\frac{7}{8} = \frac{126}{16} ÷\frac{1}{2}

= \frac{126}{16}×\frac{2}{1} = \frac{63}{4} = 15\frac{3}{4}

Therefore, Sjan will have 15\frac{3}{4} bags of grapes.

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