Basic Math Examples

$1.4 y + \frac{2}{5} y$

Step 1

Factor $y$ out of $1.4 y + \frac{2}{5} y$ .

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Step 1.1

Factor $y$ out of $1.4 y$ .

$y \cdot 1.4 + \frac{2}{5} y$

Step 1.2

Factor $y$ out of $\frac{2}{5} y$ .

$y \cdot 1.4 + y \frac{2}{5}$

Step 1.3

Factor $y$ out of $y \cdot 1.4 + y \frac{2}{5}$ .

$y (1.4 + \frac{2}{5})$

Step 2

To write $1.4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y (1.4 \cdot \frac{5}{5} + \frac{2}{5})$

Step 3

Combine $1.4$ and $\frac{5}{5}$ .

$y (\frac{1.4 \cdot 5}{5} + \frac{2}{5})$

Step 4

Combine the numerators over the common denominator.

$y \frac{1.4 \cdot 5 + 2}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $1.4$ by $5$ .

$y \frac{7 + 2}{5}$

Step 5.2

Add $7$ and $2$ .

$y \frac{9}{5}$

Step 6

Cancel the common factor of $9$ and $5$ .

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Step 6.1

Rewrite $9$ as $1 (9)$ .

$y \frac{1 (9)}{5}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Rewrite $5$ as $1 (5)$ .

$y \frac{1 \cdot 9}{1 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$y \frac{1 \cdot 9}{1 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$y \frac{9}{5}$