# WRITE FRACTIONS IN LOWEST TERMS

Write Fractions in Lowest Terms :

In this section, you will learn, how to a fraction in its lowest term.

## Write Fractions in Lowest Terms - Steps

Step 1 :

Find the greatest common divisor of both numerator and denominator.

Step 2 :

Divide both numerator and denominator by the greatest common divisor.

## Write Fractions in Lowest Terms - Examples

Example 1 :

Write the fraction given below in its lowest term.

24/40

Solution :

In the given fraction, the greatest common divisor of both numerator and denominator is 8.

So, divide both numerator and denominator by 8.

24/40  =  (24 ÷ 8) / (40 ÷ 8)

24/40  =  3/5

Example 2 :

Write the fraction given below in its lowest term.

21/77

Solution :

In the given fraction, the greatest common divisor of both numerator and denominator is 7.

So, divide both numerator and denominator by 7.

21/77  =  (21 ÷ 7) / (77 ÷ 7)

21/77  =  3/11

Example 3 :

Write the fraction given below in its lowest term.

100/125

Solution :

In the given fraction, the greatest common divisor of both numerator and denominator is 25.

So, divide both numerator and denominator by 25.

100/125  =  (100 ÷ 25) / (125 ÷ 25)

100/125  =  4/5

Example 4 :

Write the fraction given below in its lowest term.

52/169

Solution :

In the given fraction, the greatest common divisor of both numerator and denominator is 13.

So, divide both numerator and denominator by 13.

52/169  =  (52 ÷ 13) / (169 ÷ 13)

52/169  =  4/13

Example 5 :

Write the fraction given below in its lowest term.

250/350

Solution :

In the given fraction, the greatest common divisor of both numerator and denominator is 50.

So, divide both numerator and denominator by 50.

250/350  =  (250 ÷ 50) / (350 ÷ 50)

250/350  =  5/7

Example 6 :

Write the fraction given below in its lowest term.

1000/1300

Solution :

In the given fraction, the greatest common divisor of both numerator and denominator is 100.

So, divide both numerator and denominator by 100.

1000/1300  =  (1000 ÷ 100) / (1300 ÷ 100)

1000/1300  =  10/13

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

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