What is 6/2 \div 5+12-(3*4) ?

The solution to 6/2 \div 5+12-(3*4) is 3/5

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6/2 \div 5+12-(3*4)

\frac{6}{2} \div 5 + 12 - (3 \cdot 4)

\frac{3}{5}

Solution steps

\frac{6}{2} \div 5 + 12 - (3 \cdot 4)

\frac{6}{2} = 3

Divide the numbers:

\frac{6}{2} = 3

3

= 3 \div 5 + 12 - 3 \cdot 4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \div 5 : \frac{3}{5}

3 \div 5

3 \div 5 = \frac{3}{5}

= \frac{3}{5}

= \frac{3}{5} + 12 - 3 \cdot 4

Multiply and divide (left to right)

3 \cdot 4 : 12

3 \cdot 4

3 \cdot 4 = 12

= 12

= \frac{3}{5} + 12 - 12

Add and subtract (left to right)

\frac{3}{5} + 12 - 12 : \frac{3}{5}

\frac{3}{5} + 12 - 12

\frac{3}{5} + 12 = \frac{63}{5}

\frac{3}{5} + 12

Convert element to fraction:

12 = \frac{12 \cdot 5}{5}

= \frac{12 \cdot 5}{5} + \frac{3}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{12 \cdot 5 + 3}{5}

12 \cdot 5 + 3 = 63

12 \cdot 5 + 3

Multiply the numbers:

12 \cdot 5 = 60

= 60 + 3

Add the numbers:

60 + 3 = 63

= 63

= \frac{63}{5}

= \frac{63}{5} - 12

\frac{63}{5} - 12 = \frac{3}{5}

\frac{63}{5} - 12

Convert element to fraction:

12 = \frac{12 \cdot 5}{5}

= - \frac{12 \cdot 5}{5} + \frac{63}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 12 \cdot 5 + 63}{5}

- 12 \cdot 5 + 63 = 3

- 12 \cdot 5 + 63

Multiply the numbers:

12 \cdot 5 = 60

= - 60 + 63

Add/Subtract the numbers:

- 60 + 63 = 3

= 3

= \frac{3}{5}

= \frac{3}{5}

= \frac{3}{5}

4^{2} + 6 (4) + 8

- 2^{3} - [3^{2} - (2^{3} - 3^{2})^{51}]

161 \div 6 0^{2}

1 - \frac{2}{3} \div 2 \times 3

3 (3 - 1)