To solve these problems, we need to find a common denominator for each pair of fractions.
1) 1/2 + 2/5:The common denominator is 10.1/2 = 5/102/5 = 4/105/10 + 4/10 = 9/10
2) 1/2 - 2/5:The common denominator is 10.1/2 = 5/102/5 = 4/105/10 - 4/10 = 1/10
3) 1/4 + 1/6:The common denominator is 12.1/4 = 3/121/6 = 2/123/12 + 2/12 = 5/12
4) 9/10 - 5/6:The common denominator is 30.9/10 = 27/305/6 = 25/3027/30 - 25/30 = 2/30 = 1/15
Therefore, the results are:1) 1/2 + 2/5 = 9/102) 1/2 - 2/5 = 1/103) 1/4 + 1/6 = 5/124) 9/10 - 5/6 = 1/15
To solve these problems, we need to find a common denominator for each pair of fractions.
1) 1/2 + 2/5:
The common denominator is 10.
1/2 = 5/10
2/5 = 4/10
5/10 + 4/10 = 9/10
2) 1/2 - 2/5:
The common denominator is 10.
1/2 = 5/10
2/5 = 4/10
5/10 - 4/10 = 1/10
3) 1/4 + 1/6:
The common denominator is 12.
1/4 = 3/12
1/6 = 2/12
3/12 + 2/12 = 5/12
4) 9/10 - 5/6:
The common denominator is 30.
9/10 = 27/30
5/6 = 25/30
27/30 - 25/30 = 2/30 = 1/15
Therefore, the results are:
1) 1/2 + 2/5 = 9/10
2) 1/2 - 2/5 = 1/10
3) 1/4 + 1/6 = 5/12
4) 9/10 - 5/6 = 1/15