# DIVIDING FRACTION BY ANOTHER FRACTION

Problem 1 :

3/5 ÷ 7/10

Solution :

= 3/5 ÷ 7/10

Since we change the division sign to multiplication sign. We have to write the reciprocal of 7/10.

= 3/5 10/7

= 30/35

HCF of 30 and 35 is 5. Dividing both numerator and denominator by 5.we get,

= 6/7

Problem 2 :

3/8 ÷ 6/11

Solution :

= 3/8 ÷ 6/11

Since we change the division sign to multiplication sign. We have to write the reciprocal of 6/11.

= 3/8 11/6

= 33/48

HCF of 33 and 48 is 3. Dividing both numerator and denominator by 3.we get,

= 11/16

Problem 3 :

4/15 ÷ 2/5

Solution :

= 4/15 ÷ 2/5

Since we change the division sign to multiplication sign. We have to write the reciprocal of 2/5.

= 4/15 5/2

= 20/30

HCF of 20 and 30 is 10. Dividing both numerator and denominator by 10.we get,

= 2/3

Problem 4 :

2/5 ÷ 4

Solution :

= 2/5 ÷ 4

Since we change the division sign to multiplication sign. We have to write the reciprocal of 4.

=  2/5 1/4

= 2/20

HCF of 2 and 20 is 2. Dividing both numerator and denominator by 2.we get,

= 1/10

Problem 5 :

1 ÷ 3/5

Solution :

= 1 ÷ 3/5

Since we change the division sign to multiplication sign. We have to write the reciprocal of 3/5.

= 1 5/3

= 5/3

Converting the improper fraction to mixed fraction, we get

= 1  2/3

Problem 6 :

1  1/3 ÷ 3/8

Solution :

=  1  1/3 ÷ 3/8

Converting the mixed fraction to improper fraction, we get

= 4/3 ÷ 3/8

Since we change the division sign to multiplication sign. We have to write the reciprocal of 3/8.

= 4/3 8/3

= 32/9

Converting the improper fraction to mixed fraction, we get

= 3  5/9

Problem 7 :

2/3 ÷ 1  1/2

Solution :

= 2/3 ÷ 1  1/2

Converting the mixed fraction to improper fraction, we get

= 2/3 ÷ 3/2

Since we change the division sign to multiplication sign. We have to write the reciprocal of 3/2.

= 2/3 2/3

= 4/9

Problem 8 :

2  1/4 ÷ 1   2/3

Solution :

= 2  1/4 ÷ 1   2/3

Converting the mixed fraction to improper fraction, we get

= 9/4 ÷ 5/3

Since we change the division sign to multiplication sign. We have to write the reciprocal of 5/3.

= 9/4 3/5

= 27 /20

Converting the improper fraction to mixed fraction, we get

= 1  7/20

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