Final answer:
To work out the expression 2(8)/(9)-(3)/(7), we simplify 2(8) to 16, find a common denominator for 9 and 7, subtract the fractions, and simplify the result to a mixed number.
Step-by-step explanation:
To work out the expression 2(8)/(9)-(3)/(7), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we simplify 2(8) to 16. Then, we find a common denominator for 9 and 7, which is 63. So, we multiply 16 by 7 to get 112/63. Next, we subtract 3/63 from 112/63, giving us a final answer of 109/63. This can be simplified to the mixed number 1 46/63.