Multiplying and Dividing Fractions

This page covers the techniques for multiplying fractions with whole numbers and dividing fractions. It provides clear instructions and examples for both operations.

For multiplying fractions:

1. Multiply the numerators together
2. Multiply the denominators together
3. Simplify the result if possible

Example: To multiply 2/3 × 5/6, multiply 2 × 5 = 10 for the numerator and 3 × 6 = 18 for the denominator, resulting in 10/18, which can be simplified to 5/9.

For dividing fractions:

1. Convert any mixed numbers to improper fractions
2. Flip the second fraction (reciprocal)
3. Multiply the fractions as in the multiplication process
4. Simplify the result if possible

Highlight: When dividing fractions, remember to "flip and multiply" - invert the second fraction and then proceed as if multiplying.

The page includes practice questions for both multiplying mixed fractions and dividing mixed numbers, allowing students to reinforce their understanding of these operations.

Vocabulary: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

These exercises provide valuable practice for students working on multiplying fractions examples and dividing mixed fractions worksheets.

Adding and Subtracting Fractions

This page focuses on the techniques for adding and subtracting fractions with different denominators. It emphasizes the importance of finding a common denominator before performing these operations.

Definition: A common denominator is the same bottom number used for both fractions in an addition or subtraction problem.

The process for adding fractions is explained step-by-step:

1. Find the lowest common multiple of the denominators
2. Multiply both the numerator and denominator of each fraction by the same number to achieve the common denominator
3. Add the numerators while keeping the common denominator
4. Simplify the result if possible

Example: To add 2/5 + 3/4, first find the common denominator of 20. Then, convert the fractions to 8/20 + 15/20, which adds up to 23/20.

For subtracting fractions, a similar process is followed, but the numerators are subtracted instead of added.

Highlight: When working with fractions, whatever operation is performed on the denominator must also be applied to the numerator.

The page concludes with practice questions for adding and subtracting fractions with unlike denominators, providing an opportunity for students to apply the learned concepts.