An improper fraction is a fraction where the numerator (the number on top) is greater than or equal to the denominator (the number on the bottom).

3/2 is an improper fraction because the numerator (3) is greater than the denominator (2).

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

Convert 7/3 to a mixed number: 7 ÷ 3 = 2 with a remainder of 1 So, 7/3 = 2 1/3

- Convert 11/4 to a mixed number.
- Identify whether the following fractions are proper or improper: 5/2, 3/4, 8/8, 7/3
- Convert 17/5 to a mixed number.

By practicing these problems, you can become more familiar with improper fractions and their conversion to mixed numbers.

Now you have a better understanding of improper fractions and how to work with them. Good luck with your studies!

.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.