To solve the expression \((56-47):6\cdot9\), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
First, perform the operation inside the parentheses:
\(56 - 47 = 9\)Now, replace the expression with the result:
\(9 : 6 \cdot 9\)Next, perform the division:
\(9 : 6 = 1.5\)Finally, multiply by 9:
\(1.5 \cdot 9 = 13.5\)
So, \((56-47):6\cdot9 = 13.5\).
