# Fractions in Simplest Form

There are two different ways to write a fractions in simplest form.1) Divide by common factors.

2) Divide by using GCF.

**A fraction is in the lowest term when the only common factor between the numerator and the denominator is 1.**

**Example : Write 20/24 in simplest form :**

Divide by common factors • Divide by common factors until the common factor is 1. • You can start dividing by 2 since both the numbers are even. 20 ÷ 2 10 ---------- = ----- 24 ÷ 2 12 But both 10 and 12 are also even so they are divisible by 2. 10 ÷ 2 5 ---------- = ----- 12 ÷ 2 6 • Since 5 and 6 do not have any common factor so 5/6 is the simplest form of 20/24. |
Divide by using GCF• First find the GCF of 20 and 24. 20 : 1, 2, 4, 5, 10, 20 24 : 1, 2, 3, 4, 6, 8, 12, 24 • The common factors of 20 and 24 are 2 and 4. The GCF of 20 and 24 is 4. • Divide both the numerator and denominator by 4. 20 ÷ 4 5 ---------- = ----- 24 ÷ 4 6 |

**Practice**

Q.1 Reduce the fraction in its lowest(simplest) form in each of the following:

1) (14 ÷ 7) / (21 ÷7)

2) (12 ÷ 4) / (16 ÷4)

3) (18 ÷ 9) / (27 ÷9)

4) (10 ÷ 5) / (15 ÷5)

Q.2 Write the common factor in the following fractions :

1) 12/18 2) 16/20

3) 36/48 4) 7/35

5) 13/23 6) 20/50

Q.3 Reduce the following fractions to their simplest (lowest) form:

1) 2/6 2) 12/15

3) 18/20 4) 26/65

5) 16/20 6) 43/23

**Fraction**

• Types of Fractions

• Conversion of improper to mixed fraction

• Equivalent Fractions

• Fractions in Simplest form

• Like and Unlike Fractions

• Add fractions

• Subtraction of fractions

• Multiplying Fractions

• Types of Fractions

• Conversion of improper to mixed fraction

• Equivalent Fractions

• Fractions in Simplest form

• Like and Unlike Fractions

• Add fractions

• Subtraction of fractions

• Multiplying Fractions

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