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
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What will come in the place of question mark (?) in the given expression?
\(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)
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