Question

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

Answer 1

Given:

Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it.

Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds.

To find:

How much does Eliza’s math book weigh?

Solution:

The weight of Eliza's backpack along with her math book is,

=  $18\frac{7}{9} \:pounds$

we will convert the mixed fraction into an improper fraction

= $\frac{169}{9}\:pounds$

and

The weight of Eliza's backpack is,

=  $14\frac{7}{8} \:pounds$

we will convert the mixed fraction into an improper fraction

= $\frac{119}{8}\:pounds$

Now,

The weight of Eliza's math book will be,

= [Weight of backpack along with math book] - [Weight of backpack]

= $\frac{169}{9} - \frac{119}{8}$

taking the L.C.M of the denominators

= $\frac{1352\:-\:1071}{72}$

= $\frac{281}{72}\:pounds$

converting the improper fraction into a mixed fraction

= $\bold{3\frac{65}{72}\:pounds}$

Thus, Eliza’s math book weigh → $\underline{\bold{3\frac{65}{72}\:pounds}}.$

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Answer 2

Answer:

Shouldn't it be 3 7/72 ?

Step-by-step explanation: