In changing fractions we will discuss how to change fractions from improper fraction to a whole or mixed number, from mixed number to an improper fraction, from whole number into an improper fraction.

**Changing an improper fraction to a whole number or mixed number:**

Here we will learn about changing an improper fraction to a whole or mixed number.

Cut out three circle of the same size.

Fold each circle in four.

Shade 4 parts from the first circle, 4 parts from the second circle and one part from the third circle.

Total parts shaded = 9 we have 9/4 parts.

**Note:**

When the numerator of a
fraction is greater than the denominator, the fraction is greater than
1. This can be written as mixed number. **Changing improper fractions to mixed numbers by dividing the numerator with the denominator.****1.** 9/4

= 2

Therefore,

**2.** 24/10 Try to reduce the numerator and denominator by a common denominator.

24/10 ÷ 2/2 = 12/5

Now divide numerator by denominator.

= 2

24/10 |
^{2}/_{5} |

Sometimes an improper fraction change into a whole number when there is no remainder.

**3.** 16/2 ÷ 2/2 = 8/1 = 8**Note:**

When the denominator is 1 in an improper fraction, it becomes a whole number.

**Changing a mixed number to an improper fraction:**

This is what I took :

=

But I looked carefully. I had eaten 3 full + 1/2 chocolate.

Let us learn the mathematical way of changing mixed numbers to improper fractions.

5

Multiply denominator and whole number 5.

2 × 5 = 10

^{1}/_{2} |
11/2 |

Add the numerator 10 + 1 = 11

This becomes the new numerator.

The old denominator remains.

**Changing a whole number into an improper fraction:**

7 |
7/1 |

Since the denominator shows total parts and anything whole is out of 1
part, the improper fraction is formed by using 1 as the denominator.

**Related Concept**

● Representation of a Fraction

● Properties of Equivalent Fractions

● Comparison of Like Fractions

● Comparison of Fractions having the same Numerator

● Conversion of Fractions into Fractions having Same Denominator

● Conversion of a Fraction into its Smallest and Simplest Form

● Addition of Fractions having the Same Denominator

● Subtraction of Fractions having the Same Denominator

● Addition and Subtraction of Fractions on the Fraction Number Line

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