MULTIPLYING FRACTIONS

Problem 1 :

2/15 × 5/6

Solution :

= (2/15) × (5/6)

= 10/90

HCF of 10 and 90 is 10.

So, dividing the numerator and denominator by 10. We get,

= 1/9

Problem 2 :

6/7 × 1/3

Solution :

= (6/7) × (1/3)

= 6/21

HCF of 6 and 21 is 3.

So, dividing the numerator and denominator by 3. We get,

= 2/7

Problem 3 :

3 × 3/6

Solution :

= 3 × 3/6

= (3/1) × (3/6)

= 9/6

HCF of 9 and 6 is 3.

So, dividing the numerator and denominator by 3. We get,

= 3/2

= 1  1/2

Problem 4 :

2/3 × 7

Solution :

= (2/3) × (7/1)

= 14/3

HCF of 14 and 3 is 1.

So, dividing the numerator and denominator by 1. We get,

= 14/3

= 4 2/3

Problem 5 :

1  1/3 × 6/7

Solution :

= 1  1/3 × 6/7

Converting the mixed fraction into improper fraction, we get

= (4/3) × (6/7)

= 24/21

HCF of 24 and 21 is 3.

So, dividing the numerator and denominator by 3. We get,

= 8/7

= 1  1/7

Problem  6 :

1  1/8 × 4/9

Solution :

= 1  1/8 × 4/9

= (9/8) × (4/9)

= 36/72

HCF of 36 and 72 is 6.

So, dividing the numerator and denominator by 6. We get,

= 6/12

= 1/2

Problem 7 :

(2  1/2)²

Solution :

= (2  1/2)²

Converting the mixed fraction to improper fraction, we get

= (5/2)²

= (5/2) x (5/2)

= 25/4

Converting the improper fraction to mixed fraction, we get

= 6  1/4

Problem 8 :

(1  1/3)³

Solution :

= (1  1/3)³

Converting the mixed fraction to improper fraction, we get

= (4/3)³

= (4/3) x (4/3) x (4/3)

= 64/27

Converting the improper fraction to mixed fraction, we get

= 2  10/27