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 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.