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 GuideRational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations

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 meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.