# REDUCING FRACTIONS TO LOWEST TERMS WORKSHEET

Reducing Fractions to Lowest Terms Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on reducing fractions to their lowest terms.

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.

Problem 1 :

Simplify :

16/24

Problem 2 :

Simplify :

15/18

Problem 3 :

Simplify :

30/48

Problem 4 :

Simplify :

12/40

Problem 5 :

Simplify :

15/51

Problem 6 :

Simplify :

14/49

## Reducing Fractions to Lowest Terms Worksheet - Solutions

Problem 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

Problem 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

Problem 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

Problem 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

Problem 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

Problem 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

After having gone through the stuff given above, we hope that the students would have understood, how to reduce a fraction to its lowest term using divisibility rules.

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