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kolezko [41]
3 years ago
13

JK Rowling is autographing some of the new Harry Potter books.A store sells 56 books and she is able to autograph 5/8 of the boo

ks sold.How many books will have her autograph?
Mathematics
1 answer:
Andru [333]3 years ago
7 0
56/8 = 7
7x5 = 35 books
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Step-by-step explanation:

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let's firstly convert the mixed fractions to improper fractions and then to do away with the denominators, let's multiply both sides by the LCD of all denominators.

\stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}-\cfrac{4}{5}=\cfrac{35}{20}-\boxed{?}\implies \stackrel{\textit{multipling both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{7}{4}-\cfrac{4}{5} \right)=20\left( \cfrac{35}{20}-\boxed{?} \right)} \\\\\\ 35-16=35-20\boxed{?}\implies 19=35-20\boxed{?}\implies -16=-20\boxed{?} \\\\\\ \cfrac{-16}{-20}=\boxed{?}\implies \cfrac{4}{5}=\boxed{?}

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schepotkina [342]

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Step-by-step explanation:

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