What is 3\div 10\times 6-2 ?

The solution to 3\div 10\times 6-2 is -1/5

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3\div 10\times 6-2

3 \div 10 \times 6 - 2

- \frac{1}{5}

Solution steps

3 \div 10 \times 6 - 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \div 10 \times 6 : \frac{9}{5}

3 \div 10 \times 6

3 \div 10 = \frac{3}{10}

= \frac{3}{10} \times 6

\frac{3}{10} \times 6 = \frac{9}{5}

\frac{3}{10} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{3}{10} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 6}{10 \cdot 1}

Cancel

\frac{3 \cdot 6}{10 \cdot 1} : \frac{9}{5}

\frac{3 \cdot 6}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{3 \cdot 6}{10}

Factor the number:

6 = 2 \cdot 3

= \frac{3 \cdot 2 \cdot 3}{10}

Factor the number:

10 = 2 \cdot 5

= \frac{3 \cdot 2 \cdot 3}{2 \cdot 5}

Cancel the common factor:

2

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{9}{5}

= \frac{9}{5}

= \frac{9}{5}

= \frac{9}{5} - 2

Add and subtract (left to right)

\frac{9}{5} - 2 : - \frac{1}{5}

\frac{9}{5} - 2

\frac{9}{5} - 2 = - \frac{1}{5}

\frac{9}{5} - 2

Convert element to fraction:

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

= - \frac{2 \cdot 5}{5} + \frac{9}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 5 + 9}{5}

- 2 \cdot 5 + 9 = - 1

- 2 \cdot 5 + 9

Multiply the numbers:

2 \cdot 5 = 10

= - 10 + 9

Add/Subtract the numbers:

- 10 + 9 = - 1

= - 1

= \frac{- 1}{5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{5}

= - \frac{1}{5}

= - \frac{1}{5}

\frac{1}{1 + 1 ^{2}}

180 (3 - 2)

56 \div (6 - \frac{1}{2})

(1 \div 3) \div 2

4 - 2 (3 (5 - 2 (5 - 6) - 7) + 10) + 17