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.

Total parts in each circle 4 which is really 2**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.

**1. Convert the given fractions to mixed fractions:**

(i) \(\frac{11}{2}\)

(ii) \(\frac{15}{9}\)

(iii) \(\frac{25}{4}\)

(iv) \(\frac{57}{7}\)

**Answers:**

**1.** (i) 5\(\frac{1}{2}\)

(ii) 1\(\frac{6}{9}\)

(iii) 6\(\frac{1}{4}\)

(iv) 8\(\frac{1}{7}\)

**2. Convert the given mixed fractions to improper fractions:**

(i) 3\(\frac{5}{6}\)

(ii) 7\(\frac{2}{9}\)

(iii) 5\(\frac{3}{4}\)

(iv) 8\(\frac{2}{3}\)

**Answers:**

**2.** (i) \(\frac{23}{6}\)

(ii) \(\frac{65}{9}\)

(iii) \(\frac{23}{4}\)

(iv) \(\frac{26}{3}\)

**Related Concept**

**Fraction of a Whole Numbers****Representation of a Fraction****Equivalent Fractions****Properties of Equivalent Fractions****Like and Unlike Fractions****Comparison of Like Fractions****Comparison of Fractions having the same Numerator****Types of Fractions****Changing Fractions****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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