A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator represents the number of parts we have, and the denominator represents the total number of parts in the whole.

There are different types of fractions:

**Proper Fraction:**A fraction where the numerator is less than the denominator (e.g., 1/2).**Improper Fraction:**A fraction where the numerator is greater than or equal to the denominator (e.g., 5/3).**Mixed Number:**A whole number combined with a fraction (e.g., 2 1/4).

Equivalent fractions are different fractions that represent the same part of a whole. They have the same value but may look different. To find equivalent fractions, you can multiply or divide the numerator and denominator by the same number.

There are four basic operations with fractions:

**Addition:**To add fractions, find a common denominator, add the numerators, and keep the denominator the same.**Subtraction:**To subtract fractions, find a common denominator, subtract the numerators, and keep the denominator the same.**Multiplication:**To multiply fractions, simply multiply the numerators together and the denominators together.**Division:**To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Now that you've learned about fractions, let's practice with some problems:

Convert the following improper fraction to a mixed number: 7/3.

**Answer:** 7/3 = 2 1/3

Add the following fractions: 1/4 + 1/3.

**Answer:** 1/4 + 1/3 = 7/12

Multiply the following fractions: 2/5 * 3/4.

**Answer:** 2/5 * 3/4 = 6/20 = 3/10

Divide the following fractions: 2/3 ÷ 4/5.

**Answer:** 2/3 ÷ 4/5 = 5/6

Remember, fractions are a fundamental concept in mathematics, and understanding them is crucial for many math topics. Practice different types of fractions and operations to strengthen your skills!

.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.