Basic Math Examples

$\frac{15^{2} - 25 \div 2}{35 - 10}$

Step 1

Multiply the numerator and denominator of the fraction by $2$ .

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Step 1.1

Multiply $\frac{15^{2} - 25 \div 2}{35 - 10}$ by $\frac{2}{2}$ .

$\frac{2}{2} \cdot \frac{15^{2} - 25 \div 2}{35 - 10}$

Step 1.2

Combine.

$\frac{2 (15^{2} - 25 \div 2)}{2 (35 - 10)}$

Step 2

Apply the distributive property.

$\frac{2 \cdot 15^{2} + 2 (- 25 \div 2)}{2 \cdot 35 + 2 \cdot - 10}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Move the leading negative in $- 25 \div 2$ into the numerator.

$\frac{2 \cdot 15^{2} + 2 (- 25 \div 2)}{2 \cdot 35 + 2 \cdot - 10}$

Step 3.2

Cancel the common factor.

$\frac{2 \cdot 15^{2} + 2 (- 25 \div 2)}{2 \cdot 35 + 2 \cdot - 10}$

Step 3.3

Rewrite the expression.

$\frac{2 \cdot 15^{2} - 25}{2 \cdot 35 + 2 \cdot - 10}$

Step 4

Simplify the numerator.

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Step 4.1

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

$\frac{2 \cdot 225 - 25}{2 \cdot 35 + 2 \cdot - 10}$

Step 4.2

Multiply $2$ by $225$ .

$\frac{450 - 25}{2 \cdot 35 + 2 \cdot - 10}$

Step 4.3

Subtract $25$ from $450$ .

$\frac{425}{2 \cdot 35 + 2 \cdot - 10}$

Step 5

Simplify the denominator.

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Step 5.1

Multiply $2$ by $35$ .

$\frac{425}{70 + 2 \cdot - 10}$

Step 5.2

Multiply $2$ by $- 10$ .

$\frac{425}{70 - 20}$

Step 5.3

Subtract $20$ from $70$ .

$\frac{425}{50}$

Step 6

Cancel the common factor of $425$ and $50$ .

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Step 6.1

Factor $25$ out of $425$ .

$\frac{25 (17)}{50}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $25$ out of $50$ .

$\frac{25 \cdot 17}{25 \cdot 2}$

Step 6.2.2

Cancel the common factor.

$\frac{25 \cdot 17}{25 \cdot 2}$

Step 6.2.3

Rewrite the expression.

$\frac{17}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{2}$

Decimal Form:

$8.5$

Mixed Number Form:

$8 \frac{1}{2}$