Let's combine the terms with "a" and the terms with "b" separately:
Combining the terms with "a": -5/6a + 7/12a = −5/6+7/12-5/6 + 7/12−5/6+7/12a To add these fractions, find a common denominator: = −10/12+7/12-10/12 + 7/12−10/12+7/12a = −3/12-3/12−3/12a = -1/4a
Combining the terms with "b": 7/8b - 5/12b = 7/8−5/127/8 - 5/127/8−5/12b To add these fractions, find a common denominator: = 21/24−10/2421/24 - 10/2421/24−10/24b = 11/2411/2411/24b
Therefore, the simplified expression is: -1/4a + 11/24b
To simplify the expression, combine like terms:
-5/6a + 7/8b + 7/12a - 5/12b
Let's combine the terms with "a" and the terms with "b" separately:
Combining the terms with "a":
-5/6a + 7/12a
= −5/6+7/12-5/6 + 7/12−5/6+7/12a
To add these fractions, find a common denominator:
= −10/12+7/12-10/12 + 7/12−10/12+7/12a
= −3/12-3/12−3/12a
= -1/4a
Combining the terms with "b":
7/8b - 5/12b
= 7/8−5/127/8 - 5/127/8−5/12b
To add these fractions, find a common denominator:
= 21/24−10/2421/24 - 10/2421/24−10/24b
= 11/2411/2411/24b
Therefore, the simplified expression is:
-1/4a + 11/24b