Final Answer:
The simplified expression is 23/4b - 14/a - 1/b
Step-by-step explanation:
To simplify the expression, follow these steps:
Find a common denominator for all the terms:
5(5/5 * 3/4b + 4/4 * 2/5b) - 7(8/4a + 1/7b)
Combine multiplied terms into a single fraction:
5(15+8) / (20b) - 7(8/4a + 1/7b)
Combine fractions with common denominator:
5(23/20b) - 7(8/4a + 1/7b)
Multiply the numbers:
23/4b - 7(2/a + 1/7b)
Distribute:
23/4b - 7(2/a) - 7(1/7b)
Combine multiplied terms into a single fraction:
23/4b + (-14/a) + (-7/7b)
Multiply the numbers:
23/4b + (-14/a) + (-1/b)
Simplify fraction:
23/4b - 14/a - 1/b