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Algebra 1 : How to divide integers

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Example Questions

Example Question #21 : Integer Operations

Divide the following numbers: $\frac{75}{45}$

Possible Answers:

$\frac{15}{4}$

$\frac{25}{3}$

$\frac{5}{3}$

$\frac{20}{9}$

$\frac{10}{3}$

Correct answer:

$\frac{5}{3}$

Explanation:

Both numbers are divisible by .

Rewrite the numbers by their common factors.

$\frac{75}{45} = \frac{5\times 5\times 3}{5\times 3 \times 3}$

The common terms that can be cancelled are three and five.

Reduce the fraction.

The answer is: $\frac{5}{3}$

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Example Question #21 : Integer Operations

Divide the following integers: $1080\div 320$

Possible Answers:

$\frac{3}{2}$

$\frac{27}{8}$

$\frac{9}{2}$

Correct answer:

$\frac{27}{8}$

Explanation:

Rewrite the expression as a fraction.

$\frac{1080}{320}$

Cancel out the zeros on the ones place. This is the same as dividing both numbers by ten.

The result is: $\frac{108}{32}$

Both numbers are divisible by two. Write the fractions in terms of their common factors.

$\frac{108}{32} = \frac{2\times 54}{2\times 16} = \frac{2\times 2\times 27}{2\times 2\times 8}$

The common twos can be cancelled on the numerator and denominator.

The answer is: $\frac{27}{8}$

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Example Question #23 : Real Numbers

Divide the following integers: $\frac{175}{35}$

Possible Answers:

$\frac{7}{3}$

Correct answer:

Explanation:

Write the fraction using common factors. Both are divisible by five.

$\frac{175}{35} = \frac{5\times 35}{5\times 7}$

Simplify the fraction.

$\frac{35}{7} = 5$

This fraction reduces to a whole number.

The answer is:

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Example Question #22 : Integer Operations

Divide $250 \div 15$

Possible Answers:

$\frac{25}{3}$

$\frac{50}{3}$

$\frac{12}{5}$

$\frac{24}{5}$

Correct answer:

$\frac{50}{3}$

Explanation:

Rewrite this expression as a fraction.

$\frac{250}{15}$

Rewrite the numerator and denominator using common factors.

$\frac{250}{15} = \frac{5\times 50}{5 \times 3}$

Notice that we can now cancel the five in the numerator and denominator.

The answer is: $\frac{50}{3}$

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Example Question #23 : Integer Operations

Divide eighty four with sixteen.

Possible Answers:

$\frac{16}{3}$

$\frac{21}{4}$

$\frac{26}{3}$

$\frac{7}{2}$

$\frac{23}{4}$

Correct answer:

$\frac{21}{4}$

Explanation:

Write the problem statement with an expression as a fraction.

$\frac{84}{16}$

Rewrite the numerator and denominator by common factors. Both numbers are divisible by four.

$\frac{84}{16} = \frac{4\times 21}{4\times 4}$

Notice that we can cancel the common fours on the top and bottom.

The answer is: $\frac{21}{4}$

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Example Question #22 : Integer Operations

Divide eighty six with thirty two.

Possible Answers:

$\frac{11}{3}$

$\frac{23}{4}$

$\frac{41}{12}$

$\frac{17}{4}$

$\frac{43}{16}$

Correct answer:

$\frac{43}{16}$

Explanation:

Write the expression for this problem.

$\frac{86}{32}$

Rewrite the fraction using common factors. Both the numerator and denominator are divisible by two.

$\frac{86}{32} =\frac{2\times 43}{2\times 16} = \frac{43}{16}$

This fraction is no longer reducible.

The answer is: $\frac{43}{16}$

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Example Question #24 : Integer Operations

Divide: $125\div 45$

Possible Answers:

$\frac{25}{6}$

$\frac{5}{3}$

$\frac{12}{5}$

$\frac{25}{3}$

$\frac{25}{9}$

Correct answer:

$\frac{25}{9}$

Explanation:

To divide these numbers, we can rewrite this as a fraction to avoid long division.

$\frac{125}{45}$

Both numbers can be seen divisible by five. Rewrite these numbers using common factors.

$\frac{125}{45} =\frac{5 \times 25}{5\times 9}$

Cancel the fives.

The answer is: $\frac{25}{9}$

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Algebra 1 : How to divide integers

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Integer Operations

Example Question #21 : Integer Operations

Example Question #23 : Real Numbers

Example Question #22 : Integer Operations

Example Question #23 : Integer Operations

Example Question #22 : Integer Operations

Example Question #24 : Integer Operations

All Algebra 1 Resources

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