What are Fractions?

Fractions Definitions

A fraction is a numerical quantity that represents a part of a whole or, more generally, any number of equal parts. It consists of two numbers separated by a horizontal or diagonal line.

The number above the line is called the numerator, and the number below the line is called the denominator.

Fractions Overview

Fractions are commonly used to represent portions of objects or quantities. They can be proper fractions (where the numerator is less than the denominator), improper fractions (where the numerator is greater than or equal to the denominator), or mixed numbers (a whole number combined with a proper fraction).


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  • Real-Life Examples of Fractions

    3
    8

    Example 1: If there are 8 slices of pizza and you eat 3 slices, the fraction of pizza you've eaten is 3/8.

    1
    4

    Example 2: If a car has a fuel tank that can hold 4 gallons of gas and it currently has 1 gallon remaining, the fraction of the tank that's filled is 1/4.

    2
    5

    Example 3: If you spend 2 hours studying out of a total of 5 hours, the fraction of time you've spent studying is 2/5.

    7
    10

    Example 4: If there are 10 pages in a book and you've read 7 pages, the fraction of the book you've read is 7/10.

    3
    4

    Example 5: If a recipe calls for 4 cups of flour and you only have 3 cups, the fraction of the required flour you have is 3/4.

    Fractions Practice Problems

    1. Add the following fractions: 1/3 + 2/5.

    2. Subtract 3/4 from 7/8.

    3. Multiply 2/3 by 5/6.

    4. Divide 4/5 by 2/3.

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