
3/4+5/12-2/9 4/15 +2/5+7/10


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To solve these arithmetic expressions, let's simplify each one step by step:
Expression 1: 3/4 + 5/12 - 2/9
To add or subtract fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 4, 12, and 9 is 36.
Converting each fraction to have a denominator of 36: (3/4) * (9/9) = 27/36 (5/12) * (3/3) = 15/36 (2/9) * (4/4) = 8/36
Now we can combine the fractions: 27/36 + 15/36 - 8/36 = (27 + 15 - 8) / 36 = 34/36
We can simplify the fraction: 34/36 = (17/18) or approximately 0.9444
Expression 2: 4/15 + 2/5 + 7/10
Again, we need to find a common denominator. The LCM of 15, 5, and 10 is 30.
Converting each fraction to have a denominator of 30: (4/15) * (2/2) = 8/30 (2/5) * (6/6) = 12/30 (7/10) * (3/3) = 21/30
Now we can add the fractions: 8/30 + 12/30 + 21/30 = (8 + 12 + 21) / 30 = 41/30
We can simplify the fraction: 41/30 = (1 11/30) or approximately 1.3667
So, the simplified expressions are:
- 3/4 + 5/12 - 2/9 = 17/18 or approximately 0.9444
- 4/15 + 2/5 + 7/10 = 1 11/30 or approximately 1.3667


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