Basic Math Examples

$\frac{4 b}{y} - \frac{5 b}{2 y}$

Step 1

To write $\frac{4 b}{y}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4 b}{y} \cdot \frac{2}{2} - \frac{5 b}{2 y}$

Step 2

Write each expression with a common denominator of $y \cdot 2$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{4 b}{y}$ by $\frac{2}{2}$ .

$\frac{4 b \cdot 2}{y \cdot 2} - \frac{5 b}{2 y}$

Step 2.2

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

$\frac{4 b \cdot 2}{2 y} - \frac{5 b}{2 y}$

Step 3

Combine the numerators over the common denominator.

$\frac{4 b \cdot 2 - 5 b}{2 y}$

Step 4

Simplify the numerator.

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Step 4.1

Factor $b$ out of $4 b \cdot 2 - 5 b$ .

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Step 4.1.1

Factor $b$ out of $4 b \cdot 2$ .

$\frac{b (4 \cdot 2) - 5 b}{2 y}$

Step 4.1.2

Factor $b$ out of $- 5 b$ .

$\frac{b (4 \cdot 2) + b \cdot - 5}{2 y}$

Step 4.1.3

Factor $b$ out of $b (4 \cdot 2) + b \cdot - 5$ .

$\frac{b (4 \cdot 2 - 5)}{2 y}$

Step 4.2

Multiply $4$ by $2$ .

$\frac{b (8 - 5)}{2 y}$

Step 4.3

Subtract $5$ from $8$ .

$\frac{b \cdot 3}{2 y}$

Step 5

Move $3$ to the left of $b$ .

$\frac{3 b}{2 y}$