Basic Math Examples

$10 m - \frac{2}{5} \cdot 9 = \frac{3}{5}$

Step 1

Simplify each term.

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Step 1.1

Multiply $- \frac{2}{5} \cdot 9$ .

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Step 1.1.1

Multiply $9$ by $- 1$ .

$10 m - 9 (\frac{2}{5}) = \frac{3}{5}$

Step 1.1.2

Combine $- 9$ and $\frac{2}{5}$ .

$10 m + \frac{- 9 \cdot 2}{5} = \frac{3}{5}$

Step 1.1.3

Multiply $- 9$ by $2$ .

$10 m + \frac{- 18}{5} = \frac{3}{5}$

Step 1.2

Move the negative in front of the fraction.

$10 m - \frac{18}{5} = \frac{3}{5}$

Step 2

Move all terms not containing $m$ to the right side of the equation.

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Step 2.1

Add $\frac{18}{5}$ to both sides of the equation.

$10 m = \frac{3}{5} + \frac{18}{5}$

Step 2.2

Combine the numerators over the common denominator.

$10 m = \frac{3 + 18}{5}$

Step 2.3

Add $3$ and $18$ .

$10 m = \frac{21}{5}$

Step 3

Divide each term in $10 m = \frac{21}{5}$ by $10$ and simplify.

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Step 3.1

Divide each term in $10 m = \frac{21}{5}$ by $10$ .

$\frac{10 m}{10} = \frac{\frac{21}{5}}{10}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $10$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{10 m}{10} = \frac{\frac{21}{5}}{10}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{\frac{21}{5}}{10}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$m = \frac{21}{5} \cdot \frac{1}{10}$

Step 3.3.2

Multiply $\frac{21}{5} \cdot \frac{1}{10}$ .

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Step 3.3.2.1

Multiply $\frac{21}{5}$ by $\frac{1}{10}$ .

$m = \frac{21}{5 \cdot 10}$

Step 3.3.2.2

Multiply $5$ by $10$ .

$m = \frac{21}{50}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{21}{50}$

Decimal Form:

$m = 0.42$