Basic Math Examples

$y = - \frac{2}{5} x + 5 \frac{2}{5}$

Step 1

Convert $5 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

$y = - \frac{2}{5} x + 5 + \frac{2}{5}$

Step 1.2

Add $5$ and $\frac{2}{5}$ .

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Step 1.2.1

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

$y = - \frac{2}{5} x + 5 \cdot \frac{5}{5} + \frac{2}{5}$

Step 1.2.2

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

$y = - \frac{2}{5} x + \frac{5 \cdot 5}{5} + \frac{2}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

$y = - \frac{2}{5} x + \frac{5 \cdot 5 + 2}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $5$ .

$y = - \frac{2}{5} x + \frac{25 + 2}{5}$

Step 1.2.4.2

Add $25$ and $2$ .

$y = - \frac{2}{5} x + \frac{27}{5}$

Step 2

Simplify each term.

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Step 2.1

Combine $x$ and $\frac{2}{5}$ .

$y = - \frac{x \cdot 2}{5} + \frac{27}{5}$

Step 2.2

Move $2$ to the left of $x$ .

$y = - \frac{2 x}{5} + \frac{27}{5}$