The solution to 2*1/10-1 is -4/5

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2*1/10-1

Solution

2 \cdot \frac{1}{10} - 1

- \frac{4}{5}

Solution steps

2 \cdot \frac{1}{10} - 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \cdot \frac{1}{10} : \frac{1}{5}

2 \cdot \frac{1}{10}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{1}{10}

Apply the fraction rule:

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

= \frac{2 \cdot 1}{1 \cdot 10}

\frac{2 \cdot 1}{1 \cdot 10} = \frac{1}{5}

\frac{2 \cdot 1}{1 \cdot 10}

\frac{2 \cdot 1}{1 \cdot 10} = \frac{2}{10}

\frac{2 \cdot 1}{1 \cdot 10}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{2}{1 \cdot 10}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{2}{10}

= \frac{2}{10}

Cancel the numbers:

\frac{2}{10} = \frac{1}{5}

= \frac{1}{5}

= \frac{1}{5}

= \frac{1}{5} - 1

Add and subtract (left to right)

\frac{1}{5} - 1 : - \frac{4}{5}

\frac{1}{5} - 1

\frac{1}{5} - 1 = - \frac{4}{5}

\frac{1}{5} - 1

Convert element to fraction:

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

= - \frac{1 \cdot 5}{5} + \frac{1}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 1 \cdot 5 + 1}{5}

- 1 \cdot 5 + 1 = - 4

- 1 \cdot 5 + 1

Multiply the numbers:

1 \cdot 5 = 5

= - 5 + 1

Add/Subtract the numbers:

- 5 + 1 = - 4

= - 4

= \frac{- 4}{5}

Apply the fraction rule:

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

= - \frac{4}{5}

= - \frac{4}{5}

= - \frac{4}{5}

(5 + 16) \div 7 - 2

- 2 + 1 + 2

81 - 8^{2}

- 6 + \frac{3}{8} + \frac{- 1}{12} + \frac{8}{3}

\frac{1}{2} \cdot 3^{2}