A fraction represents a part of a whole. It consists of a numerator and a denominator, separated by a horizontal line. The numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts that make up a whole.

There are several types of fractions, including:

**Proper fraction:**When the numerator is less than the denominator (e.g., 3/4).**Improper fraction:**When the numerator is greater than or equal to the denominator (e.g., 7/4).**Mixed number:**A whole number combined with a proper fraction (e.g., 1 3/4).**Equivalent fractions:**Fractions that represent the same part of a whole (e.g., 1/2 and 2/4).

Fractions can be added, subtracted, multiplied, and divided. The following are the basic operations with fractions:

When adding or subtracting fractions with the same denominator, simply add or subtract the numerators and keep the common denominator.

Example:To multiply fractions, multiply the numerators together and the denominators together.

Example:To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Example:To compare fractions, find a common denominator and then compare the numerators. To order fractions, express them with the same denominator and then compare the numerators.

To convert a fraction to a decimal, divide the numerator by the denominator. To convert a fraction to a percentage, first convert it to a decimal and then multiply by 100.

1. Add the following fractions: ^{1}/_{3} + ^{2}/_{5} 2. Multiply the following fractions: ^{3}/_{4} * ^{2}/_{7} 3. Compare the following fractions: ^{2}/_{5} and ^{3}/_{8} 4. Convert ^{5}/_{6} to a decimal and then to a percentage.

Once you have worked through these problems, you should have a good understanding of the basic concepts and operations involving fractions. Feel free to reach out if you need further clarification or additional practice problems.

Study GuideNumbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.