Basic Math Examples

$\frac{- 3}{15} \cdot - 4 + (15 + 6) + 15^{2}$

Step 1

Remove parentheses.

$\frac{- 3}{15} \cdot - 4 + 15 + 6 + 15^{2}$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $- 3$ and $15$ .

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Step 2.1.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{15} \cdot - 4 + 15 + 6 + 15^{2}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $3$ out of $15$ .

$\frac{3 \cdot - 1}{3 \cdot 5} \cdot - 4 + 15 + 6 + 15^{2}$

Step 2.1.2.2

Cancel the common factor.

$\frac{3 \cdot - 1}{3 \cdot 5} \cdot - 4 + 15 + 6 + 15^{2}$

Step 2.1.2.3

Rewrite the expression.

$\frac{- 1}{5} \cdot - 4 + 15 + 6 + 15^{2}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{1}{5} \cdot - 4 + 15 + 6 + 15^{2}$

Step 2.3

Multiply $- \frac{1}{5} \cdot - 4$ .

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Step 2.3.1

Multiply $- 4$ by $- 1$ .

$4 (\frac{1}{5}) + 15 + 6 + 15^{2}$

Step 2.3.2

Combine $4$ and $\frac{1}{5}$ .

$\frac{4}{5} + 15 + 6 + 15^{2}$

Step 2.4

Raise $15$ to the power of $2$ .

$\frac{4}{5} + 15 + 6 + 225$

Step 3

Find the common denominator.

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Step 3.1

Write $15$ as a fraction with denominator $1$ .

$\frac{4}{5} + \frac{15}{1} + 6 + 225$

Step 3.2

Multiply $\frac{15}{1}$ by $\frac{5}{5}$ .

$\frac{4}{5} + \frac{15}{1} \cdot \frac{5}{5} + 6 + 225$

Step 3.3

Multiply $\frac{15}{1}$ by $\frac{5}{5}$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + 6 + 225$

Step 3.4

Write $6$ as a fraction with denominator $1$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + \frac{6}{1} + 225$

Step 3.5

Multiply $\frac{6}{1}$ by $\frac{5}{5}$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + \frac{6}{1} \cdot \frac{5}{5} + 225$

Step 3.6

Multiply $\frac{6}{1}$ by $\frac{5}{5}$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + \frac{6 \cdot 5}{5} + 225$

Step 3.7

Write $225$ as a fraction with denominator $1$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + \frac{6 \cdot 5}{5} + \frac{225}{1}$

Step 3.8

Multiply $\frac{225}{1}$ by $\frac{5}{5}$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + \frac{6 \cdot 5}{5} + \frac{225}{1} \cdot \frac{5}{5}$

Step 3.9

Multiply $\frac{225}{1}$ by $\frac{5}{5}$ .

$\frac{4}{5} + \frac{15 \cdot 5}{5} + \frac{6 \cdot 5}{5} + \frac{225 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 + 15 \cdot 5 + 6 \cdot 5 + 225 \cdot 5}{5}$

Step 5

Simplify each term.

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Step 5.1

Multiply $15$ by $5$ .

$\frac{4 + 75 + 6 \cdot 5 + 225 \cdot 5}{5}$

Step 5.2

Multiply $6$ by $5$ .

$\frac{4 + 75 + 30 + 225 \cdot 5}{5}$

Step 5.3

Multiply $225$ by $5$ .

$\frac{4 + 75 + 30 + 1125}{5}$

Step 6

Simplify by adding numbers.

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Step 6.1

Add $4$ and $75$ .

$\frac{79 + 30 + 1125}{5}$

Step 6.2

Add $79$ and $30$ .

$\frac{109 + 1125}{5}$

Step 6.3

Add $109$ and $1125$ .

$\frac{1234}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1234}{5}$

Decimal Form:

$246.8$

Mixed Number Form:

$246 \frac{4}{5}$