$5 + 2 \times 3 \div (3 \times 2) \times 3$
Simplify Mathematical Expression
Step-by-Step Solution
The expression to simplify is: $5 + 2 \times 3 \div (3 \times 2) \times 3$
We follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
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Parentheses: Calculate the expression inside the parentheses first.
$(3 \times 2) = 6$
The expression becomes: $5 + 2 \times 3 \div 6 \times 3$
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Multiplication and Division (left to right): Perform multiplications and divisions from left to right.
- First, calculate $2 \times 3$:
$2 \times 3 = 6$
The expression is now: $5 + 6 \div 6 \times 3$
- Next, calculate $6 \div 6$:
$6 \div 6 = 1$
The expression is now: $5 + 1 \times 3$
- Finally, calculate $1 \times 3$:
$1 \times 3 = 3$
The expression is now: $5 + 3$
- First, calculate $2 \times 3$:
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Addition: Perform the final addition.
$5 + 3 = 8$
The simplified value of the expression is 8.
Similar Questions
- Solve
$49 + 1331 \div 121 - 72 - 5 = ?$ - Solve the following:
$11 + 11 \div 11 + 11 \times 11 - 11 = ?$ - Solve the following.
$4 \times 36 - 6[3 + 2(216 \div 6) - 51] = ?$ - Solve the following. $8000 + \frac{2000}{100} - 150 \times 60$
- Solve the following.
$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ - Using BODMAS, simplify the following.
$\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$ - Find the value of $216 \div 6 + 6 \times 4 - 10$.
- The value of $3 \div 1 - 2 + 3$ is:
- The value of $5 + 5 \times 2 \div 5$ is:
Simplify the given expression using BODMAS.
$\frac{4}{11} \times \frac{121}{16} \times 24 (75^2 - 55^2) \times \frac{1}{100}$
Important Questions from Bodmas Rule
The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:
The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:
The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:
The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:
The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:
