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Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas.The total weight of her purchases was 7 1/2 pounds.How much did the bad of grapefruit weigh? Please give me the answer and show me how you do it!

Respuesta :

cactussky
the bag of grapefruit weighs 3 and 11/16
first: find a common denominator of 1/2, 5/8, and 3/16; 16 is the least common multiple.
16 divided by 2 is 8, so we multiply 1 by 8 and have 8/16
16 divided by 8 is 2, so we multiply 5 by 2 and have 10/16.
now, the three quantities given are 1 and 10/16, 2 and 3/16, and 7 and 8/16.
then, we subtract 1 and 10/16 from 7 and 8/16
  7 8/16
- 1 10/16
this is 5 and 7/8, or 5 and 14/16

then, we subtract 2 and 3/16 from 5 and 14/16 to get 3 and 11/16

there you have it :)

Lynne bought a bag of grapefruit ,The weight of grapefruit is

[tex]=\rm 3\dfrac{11}{16} pounds[/tex]

Given :  Grapefruits ,        

             [tex]\rm Apple=1\dfrac{5}{8} pounds \\\\rm Banana= 2\dfrac{3}{16} \rm pounds[/tex]    

Total weight of her purchases [tex]=7\dfrac{1}{2}[/tex]

In order to find the bag of grapefruit we first need to find the common denominator of given values.  

Change Mixed fraction into fraction as

                [tex]1\dfrac{5}{8}=\dfrac{13}{8}\\\\\\2\dfrac{3}{16}=\dfrac{35}{16}\\\\\\3\dfrac{1}{2}=\dfrac{15}{2}[/tex]

Now, Using LCM solve each fraction to find common denominator.

 [tex]=\dfrac{13}{2} \times\dfrac{2}{2}=\dfrac{26}{16}\ \\\\= \;\;\;\;\;\;\;\;\;\;\;\;\;\;=\dfrac{35}{16}\\\\=\dfrac{15}{2}\times\dfrac{8}{8}=\dfrac{120}{16}[/tex]

On solving, we get the total weight.

[tex]\dfrac{120}{16}-\dfrac{26}{16}-\dfrac{35}{16}=\dfrac{120-26-35}{16} =\dfrac{59}{16}=3\dfrac{11}{16}[/tex]

Therefore, The bag of Grapefruit weight is [tex]3\dfrac{11}{16}[/tex]

Learn more about Common denominator here :https://brainly.com/question/1030530

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