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The chef of a pizza place used 19 1/2 packages of pepperoni and 9 3/4 packages of sausage. How much more pepperoni than sausage did the chef use?Write your answer as a fraction or as a whole or mixed number.

Question

The chef of a pizza place used 19 1/2 packages of pepperoni and 9 3/4 packages of sausage. How much more pepperoni than sausage did the chef use?Write your answer as a fraction or as a whole or mixed number.

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Solution

First, we need to convert the mixed numbers into improper fractions to make the calculation easier.

For pepperoni, the mixed number is 19 1/2. The improper fraction is calculated as follows: (19 * 2) + 1 = 39/2.

For sausage, the mixed number is 9 3/4. The improper fraction is calculated as follows: (9 * 4) + 3 = 39/4.

Next, we subtract the amount of sausage used from the amount of pepperoni used.

This is done by finding a common denominator for the two fractions. The common denominator for 2 and 4 is 4.

So, we convert 39/2 to an equivalent fraction with 4 as the denominator. This gives us 78/4.

Now, we subtract 39/4 (sausage) from 78/4 (pepperoni). This gives us 39/4.

Finally, we convert this improper fraction back to a mixed number.

Dividing 39 by 4 gives us 9 with a remainder of 3.

So, the chef used 9 3/4 more packages of pepperoni than sausage.

This problem has been solved

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