Basic Math Examples

$\frac{10 y}{5} - \frac{20 y}{4}$

Step 1

Cancel the common factor of $20$ and $4$ .

Tap for more steps...

Step 1.1

Factor $4$ out of $20 y$ .

$\frac{10 y}{5} - \frac{4 (5 y)}{4}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $4$ out of $4$ .

$\frac{10 y}{5} - \frac{4 (5 y)}{4 (1)}$

Step 1.2.2

Cancel the common factor.

$\frac{10 y}{5} - \frac{4 (5 y)}{4 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{10 y}{5} - \frac{5 y}{1}$

Step 1.2.4

Divide $5 y$ by $1$ .

$\frac{10 y}{5} - (5 y)$

Step 2

Multiply $5$ by $- 1$ .

$\frac{10 y}{5} - 5 y$

Step 3

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

$\frac{10 y}{5} - 5 y \cdot \frac{5}{5}$

Step 4

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

$\frac{10 y}{5} + \frac{- 5 y \cdot 5}{5}$

Step 5

Combine the numerators over the common denominator.

$\frac{10 y - 5 y \cdot 5}{5}$

Step 6

Rewrite $\frac{10 y - 5 y \cdot 5}{5}$ in a factored form.

Tap for more steps...

Step 6.1

Factor $5 y$ out of $10 y - 5 y \cdot 5$ .

Tap for more steps...

Step 6.1.1

Factor $5 y$ out of $10 y$ .

$\frac{5 y (2) - 5 y \cdot 5}{5}$

Step 6.1.2

Factor $5 y$ out of $- 5 y \cdot 5$ .

$\frac{5 y (2) + 5 y (- 1 \cdot 5)}{5}$

Step 6.1.3

Factor $5 y$ out of $5 y (2) + 5 y (- 1 \cdot 5)$ .

$\frac{5 y (2 - 1 \cdot 5)}{5}$

Step 6.2

Multiply $- 1$ by $5$ .

$\frac{5 y (2 - 5)}{5}$

Step 6.3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 6.3.1

Reduce the expression $\frac{5 y (2 - 5)}{5}$ by cancelling the common factors.

Tap for more steps...

Step 6.3.1.1

Cancel the common factor.

$\frac{5 y (2 - 5)}{5}$

Step 6.3.1.2

Rewrite the expression.

$\frac{y (2 - 5)}{1}$

Step 6.3.2

Divide $y (2 - 5)$ by $1$ .

$y (2 - 5)$

Step 7

Subtract $5$ from $2$ .

$y \cdot - 3$