What is 12[5\div 2(-4+9\times 3)+3]9 ?

The solution to 12[5\div 2(-4+9\times 3)+3]9 is 6534

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Popular >

12[5\div 2(-4+9\times 3)+3]9

Solution

12 [5 \div 2 (- 4 + 9 \times 3) + 3] 9

Solution

6534

Solution steps

12 [5 \div 2 (- 4 + 9 \times 3) + 3] \cdot 9

Follow the PEMDAS order of operations

Calculate within parentheses

[5 \div 2 (- 4 + 9 \times 3) + 3] : \frac{121}{2}

5 \div 2 (- 4 + 9 \times 3) + 3

Calculate within parentheses

(- 4 + 9 \times 3) : 23

- 4 + 9 \times 3

Multiply and divide (left to right)

9 \times 3 : 27

9 \times 3

9 \times 3 = 27

= 27

= - 4 + 27

Add and subtract (left to right)

- 4 + 27 : 23

- 4 + 27

- 4 + 27 = 23

= 23

= 23

= 5 \div 2 \cdot 23 + 3

Multiply and divide (left to right)

5 \div 2 \cdot 23 : \frac{115}{2}

5 \div 2 \cdot 23

5 \div 2 = \frac{5}{2}

= \frac{5}{2} \cdot 23

\frac{5}{2} 23 = \frac{115}{2}

\frac{5}{2} \cdot 23

Convert element to fraction:

23 = \frac{23}{1}

= \frac{5}{2} \cdot \frac{23}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 \cdot 23}{2 \cdot 1}

Multiply the numbers:

5 \cdot 23 = 115

= \frac{115}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{115}{2}

= \frac{115}{2}

= \frac{115}{2} + 3

Add and subtract (left to right)

\frac{115}{2} + 3 : \frac{121}{2}

\frac{115}{2} + 3

\frac{115}{2} + 3 = \frac{121}{2}

\frac{115}{2} + 3

Convert element to fraction:

3 = \frac{3 \cdot 2}{2}

= \frac{3 \cdot 2}{2} + \frac{115}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 \cdot 2 + 115}{2}

3 \cdot 2 + 115 = 121

3 \cdot 2 + 115

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 115

Add the numbers:

6 + 115 = 121

= 121

= \frac{121}{2}

= \frac{121}{2}

= \frac{121}{2}

= 12 \cdot \frac{121}{2} \cdot 9

Multiply and divide (left to right)

12 \cdot \frac{121}{2} \cdot 9 : 6534

12 \cdot \frac{121}{2} \cdot 9

12 \frac{121}{2} = 726

12 \cdot \frac{121}{2}

Convert element to fraction:

12 = \frac{12}{1}

= \frac{12}{1} \cdot \frac{121}{2}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{12 \cdot 121}{1 \cdot 2}

Cancel

\frac{12 \cdot 121}{1 \cdot 2} : 726

\frac{12 \cdot 121}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{12 \cdot 121}{2}

Divide the numbers:

\frac{12}{2} = 6

= 6 \cdot 121

Multiply the numbers:

6 \cdot 121 = 726

= 726

= 726

= 726 \cdot 9

726 \cdot 9 = 6534

= 6534

= 6534

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Frequently Asked Questions (FAQ)

What is 12[5\div 2(-4+9\times 3)+3]9 ?
The solution to 12[5\div 2(-4+9\times 3)+3]9 is 6534