Simplify the following:
\(\frac{96}{39} (91+26) -103\)
Simplify Mathematical Expression
This solution explains how to simplify the given arithmetic expression: $$ \frac{96}{39} (91+26) -103 $$ We will follow the order of operations (PEMDAS/BODMAS) to find the simplified value.
Simplification Steps
Parentheses Simplification
First, we evaluate the expression inside the parentheses:
$$ 91 + 26 = 117 $$Fraction Simplification
Next, we simplify the fraction $$ \frac{96}{39} $$. We look for common factors. Both 96 and 39 are divisible by 3.
- \( 96 \div 3 = 32 \)
- \( 39 \div 3 = 13 \)
The simplified fraction is $$ \frac{32}{13} $$.
Multiplication Calculation
Now, we substitute the simplified values back into the original expression:
$$ \frac{32}{13} \times 117 - 103 $$Perform the multiplication. We can check if 117 is divisible by 13:
$$ \frac{117}{13} = 9 $$Multiply this result by 32:
$$ 32 \times 9 = 288 $$Subtraction Calculation
Finally, perform the subtraction:
$$ 288 - 103 = 185 $$Final Simplified Value
The final result of simplifying the expression $$ \frac{96}{39} (91+26) -103 $$ is 185.
Important Questions from Simplification
The value of {5 - 5 ÷ (10 - 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:
What should come in place of the question mark (?) in the following question?
[((16 ÷ 4) × 4) ÷ 4] = ?
Simplify the following expression.
\(\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}\)
The value of \(\left( {\frac{7}{5} \div \frac{7}{{10}}of\frac{3}{4}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div 10\frac{1}{2} \times 7\frac{1}{5}} \right) \times \frac{5}{{12}} \) is:
The value of \(\left( {{1 \over 2}} \right)\) [{–2(12 + 2)}10] is:
