 # Changing Fractions | How to Convert Whole Numbers, Mixed Numbers to Improper Fractions and Vice Versa?

Are you looking for ways on how to change Fractions? Then, take the help of this article and learn how to convert an improper fraction to a mixed number or whole number, from whole number or mixed number to improper fraction easily. Refer to Procedures on Changing Fractions to understand the concept better. Practice the Example Problems for Converting Improper Fractions to Mixed Number and Vice Versa.

### How to Convert an Improper Fraction to Mixed Number?

To Change an Improper Fraction to Mixed Number follow the below-listed steps. They are as follows

• Divide the numerator with the denominator
• Note down the whole number
• Later make a note of the remainder as a numerator above the denominator

Example:

Convert $$\frac { 9 }{ 4 }$$ to a Mixed Fraction?

Solution:

Step 1: Divide the Numerator with Denominator i.e. 9÷4 = 2 with a remainder of 1

Step 2: Write the Quotient obtained as the Whole Number. Note down the Remainder as Numerator in the Fraction while keeping the denominator of the fraction unchanged.

Step 3: Thus, we get 2 $$\frac { 1 }{ 4 }$$

Therefore, improper Fraction $$\frac { 9 }{ 4 }$$ converted to Mixed Fraction is 2 $$\frac { 1 }{ 4 }$$

### How to Convert a Mixed Number to Improper Fraction?

To convert a Mixed Number to an Improper Fraction go through the below-mentioned steps. They are as such

• Multiply the whole number part with the fraction’s denominator
• Add the result to the numerator.
• Later, place the result obtained in the earlier step as a numerator while keeping the denominator unaltered.

Example:

Convert 4 $$\frac { 3 }{ 5 }$$ to Improper Fraction?

Solution:

Step 1: Multiply the whole number part with the denominator of the fraction i.e. 4*5 = 20

Step 2: Add the result to the numerator of the fraction i.e. 20+3 = 23

Step 3: Place the numerator value obtained in the earlier step and keep the denominator unaltered i.e. $$\frac { 23 }{ 5 }$$

Therefore Mixed Number $$\frac { 3 }{ 5 }$$  converted to Improper Fraction is $$\frac { 23 }{ 5 }$$

### How to Convert a Whole Number to Improper Fraction?

Go through the following steps to change from a whole number to Improper Fraction and they are outlined as below

• To change a whole number to Improper Fraction simply place the whole number part as the numerator over the denominator 1.
• The resultant is called a reduced improper fraction.
• If you want to change it to an unreduced improper fraction you need to multiply the whole number with a fraction equivalent of 1.

Example

Convert 13 to Improper Fraction?

Solution:

In order to express Whole numbers as Improper Fractions you just need to place the whole number as the numerator over the denominator 1.

13 = $$\frac { 13 }{ 1 }$$

13 converted to Improper Fraction is $$\frac { 13 }{ 1 }$$

### FAQs on Changing Fractions

1. What is an Improper Fraction?

An Improper Fraction is a Fraction in which the numerator is greater than the denominator.

2. What is meant by Mixed Fraction?

A Fraction represented with its quotient and remainder is called a Mixed Fraction or Mixed Number. In other words, the mixed fraction is a combination of a whole number and a proper fraction.

3. How to Convert an Improper Fraction into Mixed Number?

Divide the Numerator with the Denominator. Take the Quotient obtained as a Whole Number and the Remainder as Numerator in the Proper Fraction while keeping the Denominator Unchanged.

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