Basic Math Examples

$- \frac{7 m}{10} = - \frac{7}{45}$

Step 1

Multiply both sides of the equation by $- \frac{10}{7}$ .

$- \frac{10}{7} (- \frac{7 m}{10}) = - \frac{10}{7} (- \frac{7}{45})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- \frac{10}{7} (- \frac{7 m}{10})$ .

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Step 2.1.1.1

Cancel the common factor of $10$ .

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Step 2.1.1.1.1

Move the leading negative in $- \frac{10}{7}$ into the numerator.

$\frac{- 10}{7} (- \frac{7 m}{10}) = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.1.2

Move the leading negative in $- \frac{7 m}{10}$ into the numerator.

$\frac{- 10}{7} \cdot \frac{- 7 m}{10} = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.1.3

Factor $10$ out of $- 10$ .

$\frac{10 (- 1)}{7} \cdot \frac{- 7 m}{10} = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.1.4

Cancel the common factor.

$\frac{10 \cdot - 1}{7} \cdot \frac{- 7 m}{10} = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.1.5

Rewrite the expression.

$\frac{- 1}{7} (- 7 m) = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.2

Cancel the common factor of $7$ .

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Step 2.1.1.2.1

Factor $7$ out of $- 7 m$ .

$\frac{- 1}{7} (7 (- m)) = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.2.2

Cancel the common factor.

$\frac{- 1}{7} (7 (- m)) = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.2.3

Rewrite the expression.

$- - m = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.3

Multiply.

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 m = - \frac{10}{7} (- \frac{7}{45})$

Step 2.1.1.3.2

Multiply $m$ by $1$ .

$m = - \frac{10}{7} (- \frac{7}{45})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- \frac{10}{7} (- \frac{7}{45})$ .

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Step 2.2.1.1

Cancel the common factor of $5$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{10}{7}$ into the numerator.

$m = \frac{- 10}{7} (- \frac{7}{45})$

Step 2.2.1.1.2

Move the leading negative in $- \frac{7}{45}$ into the numerator.

$m = \frac{- 10}{7} \cdot \frac{- 7}{45}$

Step 2.2.1.1.3

Factor $5$ out of $- 10$ .

$m = \frac{5 (- 2)}{7} \cdot \frac{- 7}{45}$

Step 2.2.1.1.4

Factor $5$ out of $45$ .

$m = \frac{5 \cdot - 2}{7} \cdot \frac{- 7}{5 \cdot 9}$

Step 2.2.1.1.5

Cancel the common factor.

$m = \frac{5 \cdot - 2}{7} \cdot \frac{- 7}{5 \cdot 9}$

Step 2.2.1.1.6

Rewrite the expression.

$m = \frac{- 2}{7} \cdot \frac{- 7}{9}$

Step 2.2.1.2

Cancel the common factor of $7$ .

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Step 2.2.1.2.1

Factor $7$ out of $- 7$ .

$m = \frac{- 2}{7} \cdot \frac{7 (- 1)}{9}$

Step 2.2.1.2.2

Cancel the common factor.

$m = \frac{- 2}{7} \cdot \frac{7 \cdot - 1}{9}$

Step 2.2.1.2.3

Rewrite the expression.

$m = - 2 (\frac{- 1}{9})$

Step 2.2.1.3

Combine $- 2$ and $\frac{- 1}{9}$ .

$m = \frac{- 2 \cdot - 1}{9}$

Step 2.2.1.4

Multiply $- 2$ by $- 1$ .

$m = \frac{2}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \frac{2}{9}$

Decimal Form:

$m = 0.\overline{2}$