Basic Math Examples

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

Step 1

Simplify the right side.

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Step 1.1

Convert $9 \frac{3}{5}$ to an improper fraction.

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Step 1.1.1

A mixed number is an addition of its whole and fractional parts.

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

Step 1.1.2

Add $9$ and $\frac{3}{5}$ .

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Step 1.1.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 1.1.2.2

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

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

Step 1.1.2.3

Combine the numerators over the common denominator.

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

Step 1.1.2.4

Simplify the numerator.

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Step 1.1.2.4.1

Multiply $9$ by $5$ .

$10 m - \frac{2}{5} = \frac{45 + 3}{5}$

Step 1.1.2.4.2

Add $45$ and $3$ .

$10 m - \frac{2}{5} = \frac{48}{5}$

Step 2

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

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Step 2.1

Add $\frac{2}{5}$ to both sides of the equation.

$10 m = \frac{48}{5} + \frac{2}{5}$

Step 2.2

Combine the numerators over the common denominator.

$10 m = \frac{48 + 2}{5}$

Step 2.3

Add $48$ and $2$ .

$10 m = \frac{50}{5}$

Step 2.4

Divide $50$ by $5$ .

$10 m = 10$

Step 3

Divide each term in $10 m = 10$ by $10$ and simplify.

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Step 3.1

Divide each term in $10 m = 10$ by $10$ .

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

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.

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

Step 3.2.1.2

Divide $m$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $10$ by $10$ .

$m = 1$