Improper Fractions

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 5/3 is an improper fraction because 5 is greater than 3.

Converting Improper Fractions to Mixed Numbers

To convert an improper fraction to a mixed number, follow these steps:

Divide the numerator by the denominator.
The quotient is the whole number part of the mixed number.
The remainder becomes the numerator of the fractional part.
The denominator remains the same.

Example:

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

Step 1: 7 ÷ 3 = 2 with a remainder of 1

Step 2: The whole number part is 2

Step 3: The fractional part is 1/3

So, the mixed number is 2 1/3

Practice Problems:

1. Convert the improper fraction 11/4 to a mixed number.

2. Convert the improper fraction 9/2 to a mixed number.

3. Convert the improper fraction 13/5 to a mixed number.

Remember, improper fractions and mixed numbers are two different ways of representing the same value. It's important to be comfortable working with both forms.

Hope this helps! Let me know if you have any questions. Good luck with your studies!

◂Math Worksheets and Study Guides Seventh Grade. Algebraic Equations

The resources above cover the following skills:

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model and solve contextualized problems using various representations, such as graphs, tables, and equations.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.