# ADDING FRACTIONS WITH DENOMINATORS OF 10 AND 100

Problem 1 :

5/10 + 20/100

Solution :

5/10 + 20/100

The given are unlike fractions, since they are having different denominators.

Least common multiple of (10, 100) = 100.

To make the denominator as 100, multiply both numerator and denominator of the first fraction by 10 and the second fraction by 1.

5/10 = (5 × 10)/(10 × 10) = 50/100

20/100 = (20 × 1)/(100 × 1) = 20/100

= 50/100 + 20/100

= (50 + 20)/100

= 70/100

= 0.7

Problem 2 :

2/10 + 35/100

Solution :

= 2/10 + 35/100

2/10 = (2 × 10)/(10 × 10) = 20/100

35/100 = (35 × 1)/(100 × 1) = 35/100

= 20/100 + 35/100

= (20 + 35)/100

= 55/100

= 0.55

Problem 3 :

25/100 + 6/10

Solution :

= 25/100 + 6/10

25/100 = (25 × 1)/(100 × 1) = 25/100

6/10 = (6 × 10)/(10 × 10) = 60/100

= 25/100 + 60/100

= (25 + 60)/100

= 85/100

= 0.85

Problem 4 :

73/100 + 1/10

Solution :

73/100 + 1/10

73/100 = (73 × 1)/(100 × 1) = 73/100

1/10 = (1 × 10)/(10 × 10) = 10/100

= 73/100 + 10/100

= (73 + 10)/100

= 83/100

= 0.83

Problem 5 :

68/100 + 2/10

Solution :

= 68/100 + 2/10

68/100 = (68 × 1)/(100 × 1) = 68/100

2/10 = (2 × 10)/(10 × 10) = 20/100

68/100 + 2/10 :

= 68/100 + 20/100

= (68 + 20)/100

= 88/100

= 0.88

Problem 6 :

4/10 + 40/100

Solution :

= 4/10 + 40/100

4/10 = (4 × 10)/(10 × 10) = 40/100

40/100 = (40 × 1)/(100 × 1) = 40/100

= 40/100 + 40/100

= (40 + 40)/100

= 80/100

= 0.8

Problem 7 :

80/100 + 1/10

Solution :

= 80/100 + 1/10

80/100 = (80 × 1)/(100 × 1) = 80/100

1/10 = (1 × 10)/(10 × 10) = 10/100

= 80/100 + 10/100

= (80 + 10)/100

= 90/100

= 0.9

Problem 8 :

50/100 + 3/10

Solution :

= 50/100 + 3/10

50/100 = (50 × 1)/(100 × 1) = 50/100

3/10 = (3 × 10)/(10 × 10) = 10/100

= 50/100 + 30/100

= (50 + 30)/100

= 80/100

= 0.8

Problem 9 :

59/100 + 3/10

Solution :

= 59/100 + 3/10

59/100 = (59 × 1)/(100 × 1) = 59/100

3/10 = (3 × 10)/(10 × 10) = 30/100

= 59/100 + 30/100

= (59 + 30)/100

= 89/100

= 0.89

Problem 10 :

7/10 + 12/100

Solution :

= 7/10 + 12/100

7/10 = (7 × 10)/(10 × 10) = 70/100

12/100 = (12 × 1)/(100 × 1) = 12/100

= 70/100 + 12/100

= (70 + 12)/100

= 82/100

= 0.82

Problem 11 :

40/100 + 3/10

Solution :

40/100 + 3/10

40/100 = (40 × 1)/(100 × 1) = 40/100

3/10 = (3 × 10)/(10 × 10) = 30/100

= 40/100 + 30/100

= (40 + 30)/100

= 70/100

= 0.7

Problem 12 :

36/100 + 4/10

Solution :

= 36/100 + 4/10

36/100 = (36 × 1)/(100 × 1) = 36/100

4/10 = (4 × 10)/(10 × 10) = 40/100

= 36/100 + 40/100

= (36 + 40)/100

= 76/100

= 0.76

Problem 13 :

27/100 + 6/10

Solution :

27/100 + 6/10

27/100 = (27 × 1)/(100 × 1) = 27/100

6/10 = (6 × 10)/(10 × 10) = 60/100

= 27/100 + 60/100

= (27 + 60)/100

= 87/100

= 0.87

Problem 14 :

55/100 + 3/10

Solution :

55/100 + 3/10

55/100 = (55 × 1)/(100 × 1) = 55/100

3/10 = (3 × 10)/(10 × 10) = 30/100

= 55/100 + 30/100

= (55 + 30)/100

= 85/100

= 0.85

Problem 15 :

1/10 + 85/100

Solution :

1/10 + 85/100

1/10 = (1 × 10)/(10 × 10) = 10/100

85/100 = (85 × 1)/(100 × 1) = 85/100

= 10/100 + 85/100

= (10 + 85)/100

= 95/100

= 0.95

Problem 16 :

17/100 + 6/10

Solution :

17/100 + 6/10

17/100 = (17 × 1)/(100 × 1) = 17/100

6/10 = (6 × 10)/(10 × 10) = 60/100

= 17/100 + 60/100

= (17 + 60)/100

= 77/100

= 0.77

Problem 17 :

26/100 + 7/10

Solution :

= 26/100 + 7/10

26/100 = (26 × 1)/(100 × 1) = 26/100

7/10 = (7 × 10)/(10 × 10) = 70/100

26/100 + 7/10 :

= 26/100 + 70/100

= (26 + 70)/100

= 96/100

= 0.96

Problem 18 :

45/100 + 4/10

Solution :

= 45/100 + 4/10

45/100 = (45 × 1)/(100 × 1) = 45/100

4/10 = (4 × 10)/(10 × 10) = 40/100

= 45/100 + 40/100

= (45 + 40)/100

= 85/100

= 0.85

Problem 19 :

5/10 + 30/100

Solution :

5/10 + 30/100

5/10 = (5 × 10)/(10 × 10) = 50/100

30/100 = (30 × 1)/(100 × 1) = 30/100

= 50/100 + 30/100

= (50 + 30)/100

= 80/100

= 0.8

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