converting an improper fraction into mixed fraction worksheet | class 6 fraction

converting an improper fraction into mixed fraction worksheet. Download expressing the following as mixed fractions worksheet. Each step for converting is explained in detail so that students can solve the questions by own. 

What are improper fractions?

An improper fraction is a fraction in which the numerator (the top number) is larger than or equal to the denominator (the bottom number). It is also known as a top-heavy fraction. For example, 5/4, 7/3 and 12/10 are all examples of improper fractions.

What are mixed fractions?

A mixed fraction, also known as a mixed number, is a combination of a whole number and a fraction. It is used to express a quantity that is greater than one, but not a whole number.

For example, the mixed fraction 2 3/4 can be read as "two and three-fourths" and represents the quantity 2 + 3/4. The whole number part of the mixed fraction is "2" and the fractional part is "3/4".

It is different from an improper fraction, where the numerator is greater than or equal to the denominator. In order to convert an improper fraction to a mixed fraction, you can use the method of dividing the numerator by the denominator, the quotient will be the whole number part and the remainder will be the numerator of the fractional part.

How to convert improper fractions into mixed fractions?

To convert an improper fraction into a mixed fraction, divide the numerator by the denominator.

 The quotient becomes the whole number part of the mixed fraction, and the remainder becomes the numerator of the fractional part. The denominator remains the same. For example, to convert the improper fraction 7/4 into a mixed fraction, divide 7 by 4 to get a quotient of 1 and a remainder of 3. Therefore, the mixed fraction equivalent of 7/4 is 1 3/4.

There are several ways to convert an improper fraction into a mixed fraction, including:

Dividing the numerator by the denominator: This method involves dividing the numerator by the denominator to get the whole number part of the mixed fraction, and using the remainder as the numerator of the fractional part. For example, to convert 7/4 into a mixed fraction, divide 7 by 4 to get a quotient of 1 and a remainder of 3. The mixed fraction equivalent of 7/4 is 1 3/4.

Using long division: This method involves using long division to find the whole number part of the mixed fraction, and using the remainder as the numerator of the fractional part.

Using algebra: This method involves solving the equation n/d = w + n/d, where n is the numerator, d is the denominator, w is the whole number part, and n/d is the fractional part.

Using a calculator: Many calculators have a function to convert an improper fraction into a mixed fraction.

Using a common denominator: This method involves multiplying the numerator and denominator of the fraction by a number to create a fraction with a whole number in the numerator.

Using a visualization: This method involves visualizing the improper fraction as a sum of unit fractions and then expressing the sum as mixed fraction.

All of these methods will give you the same mixed fraction as an answer. You can choose the method that you find most comfortable or easy to understand.

Why do we learn fraction chapters?

Learning fractions is important for several reasons:

Math foundation: Fractions are a fundamental concept in mathematics and are used in many other areas of math such as algebra, geometry, and trigonometry. A strong understanding of fractions is crucial for success in these areas.

Real-world applications: Fractions are used in many real-world situations, such as measuring ingredients in cooking and baking, dividing a pizza among friends, calculating discounts and taxes, and determining proportions in art and design. Understanding fractions is essential for making sense of these everyday situations.

Problem-solving skills: Learning fractions requires problem-solving skills, such as breaking down complex problems into simpler parts, understanding the relationship between different quantities, and making logical deductions. These skills are valuable in many areas of life, not just math.

Mental flexibility: Fractions can be expressed in many different ways, such as mixed numbers, decimals and percentages. Understanding how fractions can be expressed in different forms can help make math more accessible and increase mental flexibility.

Preparation for higher-level math: Fractions are a key component of many higher-level math concepts, such as algebra and calculus. Having a strong foundation in fractions will prepare students for further study in these areas.

Conceptual understanding: Fractions are not just numbers, they are also concepts that help us understand the relationship between different quantities. Understanding fractions will help students to understand how numbers relate to each other.

Overall, learning fractions is important for building a solid foundation in math, understanding real-world situations, developing problem-solving skills, increasing mental flexibility, and preparing for higher