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

Respuesta :

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

Answer:

[tex]15\frac{3}{4}[/tex] bags

Step-by-step explanation:

We know,

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

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

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

[tex]3\frac{3}{8} + 4\frac{1}{2}[/tex]

=[tex]\frac{27}{8} + \frac{9}{2}[/tex]

=[tex]\frac{54+74}{16}[/tex]

= [tex]\frac{126}{16} = 7\frac{7}{8}[/tex] cups

Divide [tex]7\frac{7}{8}[/tex] by [tex]\frac{1}{2}[/tex]:

[tex]7\frac{7}{8} = \frac{126}{16}[/tex] ÷[tex]\frac{1}{2}[/tex]

= [tex]\frac{126}{16}[/tex]×[tex]\frac{2}{1}[/tex] = [tex]\frac{63}{4} = 15\frac{3}{4}[/tex]

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

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