Mixed Numbers

A mixed number is a combination of a whole number and a proper fraction. It is written in the form:

Whole number + Fraction

For example, 3 1/2 is a mixed number. Here, 3 is the whole number and 1/2 is the fraction.

Converting Improper Fractions to Mixed Numbers

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the fraction part.

For example, to convert 7/2 to a mixed number:

7 ÷ 2 = 3 with a remainder of 1

So, 7/2 = 3 1/2

Converting Mixed Numbers to Improper Fractions

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, then add the numerator. The result becomes the new numerator over the original denominator.

For example, to convert 4 3/5 to an improper fraction:

4 × 5 + 3 = 20 + 3 = 23

So, 4 3/5 = 23/5

Adding and Subtracting Mixed Numbers

When adding or subtracting mixed numbers, it is helpful to first convert them to improper fractions, perform the operation, and then convert the result back to a mixed number if necessary.

Practice Problems

1. Convert 17/4 to a mixed number.

Answer: 4 1/4

2. Convert 5 2/3 to an improper fraction.

Answer: 17/3

3. Add 2 3/4 and 1 1/2.

Answer: 4 1/4

4. Subtract 3 2/5 from 5 3/4.

Answer: 2 13/20

◂Math Worksheets and Study Guides Third Grade. Equivalent Fractions to 1/2

Study Guide

Equivalent Fractions to 1/2

Worksheet/Answer key

Equivalent Fractions to 1/2

Worksheet/Answer key

Equivalent Fractions to 1/2

Worksheet/Answer key

Equivalent Fractions to 1/2

Create And Print more Fractions worksheets with Equivalent Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

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

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Use models, benchmarks, and equivalent forms to judge the size of fractions.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 3 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of fractions and fraction equivalence

Students develop an understanding of the meanings and uses of fractions to represent parts of a whole, parts of a set, or points or distances on a number line. They understand that the size of a fractional part is relative to the size of the whole, and they use fractions to represent numbers that are equal to, less than, or greater than 1. They solve problems that involve comparing and ordering fractions by using models, benchmark fractions, or common numerators or denominators. They understand and use models, including the number line, to identify equivalent fractions.

Mixed Numbers

Converting Improper Fractions to Mixed Numbers

Converting Mixed Numbers to Improper Fractions

Adding and Subtracting Mixed Numbers

Practice Problems

[Mixed Number] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides Third Grade. Equivalent Fractions to 1/2

Create And Print more Fractions worksheets with Equivalent Fractions

The resources above cover the following skills: