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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