REDUCING FRACTIONS TO LOWEST TERMS EXAMPLES

To reduce a fraction to its lowest term, we need to divide both numerator and denominator by the same number as much as possible.

We can use the divisibility rules to find the common divisor of both numerator and denominator. 

Example 1 :

Simplify :

16/24

Solution :

In the given fraction, both numerator and denominator are divisible by 8. 

So, we can divide both numerator and denominator by 8.

16/24  =  (16 ÷ 8) / (24 ÷ 8)

16/24  =  2/3

Example 2 :

Simplify : 

15/18

Solution :

In the given fraction, both numerator and denominator are divisible by 3. 

So, we can divide both numerator and denominator by 3.

15/18  =  (15 ÷ 3) / (18 ÷ 6)

15/18  =  5/6

Example 3 :

Simplify : 

30/48

Solution :

In the given fraction, both numerator and denominator are divisible by 6. 

So, we can divide both numerator and denominator by 6.

30/48  =  (30 ÷ 6) / (48 ÷ 6)

30/48  =  5/8

Example 4 :

Simplify : 

12/40

Solution :

In the given fraction, both numerator and denominator are divisible by 4. 

So, we can divide both numerator and denominator by 4.

12/40  =  (12 ÷ 4) / (40 ÷ 4)

12/40  =  3/10

Example 5 :

Simplify : 

15/51

Solution :

In the given fraction, both numerator and denominator are divisible by 3. 

So, we can divide both numerator and denominator by 3.

15/51  =  (15 ÷ 3) / (51 ÷ 3)

15/51  =  5/17

Example 6 :

Simplify :

14/49

Solution :

In the given fraction, both numerator and denominator are divisible by 7. 

So, we can divide both numerator and denominator by 7.

14/49  =  (14 ÷ 7) / (49 ÷ 7)

14/49  =  2/7

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