Practice Objectives

- Demonstrate the ability to find the quotient of two fractions
- Demonstrate the ability to find the quotient of signed fractions
- Demonstrate the ability to find the quotient of a fraction and a whole number
- Demonstrate the ability to find the quotient of a whole number and a fraction
- Demonstrate the ability to reduce a fraction to lowest terms

## Practice Dividing Fractions

Instructions:

Answer 7/10 questions correctly to pass.

Find the quotient, simplify your answer.

Write a negative fraction as: -a/b or a/-b.

Problem:

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The correct answer was: 0

Dividing Fractions:

- Simplify each fraction
- Take the reciprocal of the rightmost fraction and multiply
- Cross cancel any common factors among all numerators and denominators
- Set up the answer:
- Numerator: Find the product of all numerators
- Denominator: Find the product of all denominators

Dividing Signed Fractions:

- Determine the sign of the quotient
- An even number of negatives gives a positive quotient
- An odd number of negatives gives a negative quotient

- Work with the absolute values
- Simplify each fraction
- Take the reciprocal of the rightmost fraction and multiply
- Cross cancel any common factors among all numerators and denominators
- Set up the answer:
- Numerator: Find the product of all numerators
- Denominator: Find the product of all denominators

- Attach the correct sign to the answer

Dividing Fractions & Whole Numbers:

- Simplify each fraction
- Write any whole number as a fraction with a denominator of 1
- Take the reciprocal of the rightmost fraction and multiply
- Cross cancel any common factors among all numerators and denominators
- Set up the answer:
- Numerator: Find the product of all numerators
- Denominator: Find the product of all denominators

Step-by-Step:

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