Basic Math Examples

$3 a + \frac{b - 3 c}{2} \cdot (- 5)$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{b - 3 c}{2}$ and $- 5$ .

$3 a + \frac{(b - 3 c) \cdot - 5}{2}$

Step 1.2

Move $- 5$ to the left of $b - 3 c$ .

$3 a + \frac{- 5 \cdot (b - 3 c)}{2}$

Step 1.3

Move the negative in front of the fraction.

$3 a - \frac{5 (b - 3 c)}{2}$

Step 2

To write $3 a$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$3 a \cdot \frac{2}{2} - \frac{5 (b - 3 c)}{2}$

Step 3

Simplify terms.

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Step 3.1

Combine $3 a$ and $\frac{2}{2}$ .

$\frac{3 a \cdot 2}{2} - \frac{5 (b - 3 c)}{2}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{3 a \cdot 2 - 5 (b - 3 c)}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $2$ by $3$ .

$\frac{6 a - 5 (b - 3 c)}{2}$

Step 4.2

Apply the distributive property.

$\frac{6 a - 5 b - 5 (- 3 c)}{2}$

Step 4.3

Multiply $- 3$ by $- 5$ .

$\frac{6 a - 5 b + 15 c}{2}$