austin78lkll
contestada

Eliza’s backpack weighs 18 and 7/9 pounds with her math book in it. Without her math book, her backpack weighs 14 and 7/8 pounds. How much does Eliza’s math book weigh?

Respuesta :

fussellk
18 7/9 - 14 7/8
= 169/9 - 119/8
now you must find a common denominator
= 281/72 
3 65/72 lbs
calculista

Answer:

[tex]3\frac{65}{72}\ pounds[/tex]

Step-by-step explanation:

we know that

To find the Eliza’s math book weigh subtract the backpack weighs without the math book from the backpack weighs

First convert to an improper fractions

[tex]18\frac{7}{9} =\frac{18*9+7}{9}=\frac{169}{9}[/tex]

[tex]14\frac{7}{8} =\frac{14*8+7}{8}=\frac{119}{8}[/tex]

so

[tex]\frac{169}{9}-\frac{119}{8}=\frac{169*8-119*9}{72}\\ \\=\frac{281}{72}\ pounds[/tex]

convert to a mixed number

[tex]\frac{281}{72}=\frac{216}{72}+\frac{65}{72}=3\frac{65}{72}\ pounds[/tex]

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