A fraction represents a part of a whole or a part of a group. It consists of a numerator and a denominator, separated by a horizontal line. The numerator represents the number of parts we have, while the denominator represents the total number of parts that make up a whole.

There are different types of fractions:

**Proper Fractions:**When the numerator is less than the denominator, e.g., 1/2, 3/4.**Improper Fractions:**When the numerator is greater than or equal to the denominator, e.g., 5/3, 7/4.**Mixed Numbers:**A combination of a whole number and a fraction, e.g., 2 1/3, 3 2/5.**Equivalent Fractions:**Fractions that represent the same part of a whole, e.g., 1/2 and 2/4 are equivalent.

We can perform various operations with fractions:

**Addition and Subtraction:**When adding or subtracting fractions, we need to have a common denominator.**Multiplication:**To multiply fractions, we simply multiply the numerators and denominators together.**Division:**To divide fractions, we multiply by the reciprocal of the divisor.

Here are some examples of fractions:

- 1/2 - One-half of a whole.
- 3/4 - Three-fourths of a whole.
- 2 1/3 - Two and one-third, a mixed number.
- 5/6 + 1/3 = 9/6 - Adding fractions with a common denominator.
- 2/3 * 4/5 = 8/15 - Multiplying fractions.
- 3/4 ÷ 2/5 = 15/8 - Dividing fractions by multiplying by the reciprocal.

Study GuideFractions Worksheet/Answer key

Fractions Worksheet/Answer key

Fractions Worksheet/Answer key

Fractions Worksheet/Answer keyFractions Worksheet/Answer keyFractions and Decimals Worksheet/Answer keyFractions and Decimals Worksheet/Answer keyFractions and Decimals Vocabulary/Answer keyFractions Vocabulary/Answer keyFractions

Number and Operations (NCTM)

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

Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2.