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Improper Fraction to Mixed Number

How to convert an improper fraction to mixed number

Students usually get stuck while converting Improper Fraction to Mixed Number. But it is fun if solved step by step using the right formula. Here, it should be kept in mind that mixed numbers and improper fractions are the same thing with different methods of representation.   

Let’s learn how to change an improper fraction to mixed number in this blog.

What is a Mixed Number?

A mixed number or mixed fraction is formed by the whole number and a fraction that are written together in a combined form. It is the representation of a figure of a whole number with a part of a fraction.

Examples of mixed numbers are \text{Examples of mixed numbers are }
213,654,1083 etc.2\frac{1}{3}, 6\frac{5}{4}, 10\frac{8}{3} \text{ etc.}
In the above example, 2, 6, and 10 are \text{In the above example, 2, 6, and 10 are }
whole numbers, and 13,54 are fractions. \text{whole numbers, and } \frac{1}{3}, \frac{5}{4} \text{ are fractions. }
Combined, they form a mixed number. \text{Combined, they form a mixed number. }

What is an Improper Fraction?

In an improper fraction, the numerator is always greater than that of the denominator, or rather it is equal to it. For example;

175,2015,3218,4022\frac{17}{5}, \frac{20}{15}, \frac{32}{18}, \frac{40}{22}

It is evident from an example of improper fraction that the numerator is larger than the denominator.

Method to Convert Improper Fraction to Mixed Number

There is a popular and easy method to convert improper fraction to mixed number. It is a division method. In this method, the mixed number is obtained by dividing the numerator of the improper faction by its denominator. Let’s look deep into it.

How to Find Mixed Number by Dividing Improper Fraction

The division method is the easiest way to turn improper fraction into mixed number. This conversion involves simple steps. Let’s follow the procedure categorically to learn how to find Mixed Number by dividing improper fractions.

  • Divide the numerator by a denominator
  • Consider the quotient as a whole number portion of the mixed number fraction
  • The remainder is the numerator
  • The denominator will remain as it is.

Example

Look at the following improper fraction to mixed number example. 

Let’s consider we have an improper fraction of ; we will apply the above steps here. 

  • Divide 15 by 6. 
  • After division, the resulting quotient is 2. It is a whole number.
  • The remainder is 3, we will consider it a numerator.
  • The denominator will be exact as 6
  • So, the resulting mixed number will be
2362\frac{3}{6}
Example conversation for fraction to improper mixed number by dividing

Converting Improper to Mixed Fractions Worksheet

Worksheets are important tools for kids to understand the mathematical concepts by practicing them. Here, we provide you with the converting Improper to Mixed Fractions Worksheet to help you practice. Solve each question and enhance your problem-solving abilities. 

Converting improper to mixed fraction worksheet

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