Algebra Examples

$25 + ((16 - 3 \cdot 5) + \frac{12 + 3}{5})$

Step 1

Remove parentheses.

$25 + (16 - 3 \cdot 5) + \frac{12 + 3}{5}$

Step 2

Add $12$ and $3$ .

$25 + 16 - 3 \cdot 5 + \frac{15}{5}$

Step 3

Find the common denominator.

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Step 3.1

Write $25$ as a fraction with denominator $1$ .

$\frac{25}{1} + 16 - 3 \cdot 5 + \frac{15}{5}$

Step 3.2

Multiply $\frac{25}{1}$ by $\frac{5}{5}$ .

$\frac{25}{1} \cdot \frac{5}{5} + 16 - 3 \cdot 5 + \frac{15}{5}$

Step 3.3

Multiply $\frac{25}{1}$ by $\frac{5}{5}$ .

$\frac{25 \cdot 5}{5} + 16 - 3 \cdot 5 + \frac{15}{5}$

Step 3.4

Write $16$ as a fraction with denominator $1$ .

$\frac{25 \cdot 5}{5} + \frac{16}{1} - 3 \cdot 5 + \frac{15}{5}$

Step 3.5

Multiply $\frac{16}{1}$ by $\frac{5}{5}$ .

$\frac{25 \cdot 5}{5} + \frac{16}{1} \cdot \frac{5}{5} - 3 \cdot 5 + \frac{15}{5}$

Step 3.6

Multiply $\frac{16}{1}$ by $\frac{5}{5}$ .

$\frac{25 \cdot 5}{5} + \frac{16 \cdot 5}{5} - 3 \cdot 5 + \frac{15}{5}$

Step 3.7

Write $- 3 \cdot 5$ as a fraction with denominator $1$ .

$\frac{25 \cdot 5}{5} + \frac{16 \cdot 5}{5} + \frac{- 3 \cdot 5}{1} + \frac{15}{5}$

Step 3.8

Multiply $\frac{- 3 \cdot 5}{1}$ by $\frac{5}{5}$ .

$\frac{25 \cdot 5}{5} + \frac{16 \cdot 5}{5} + \frac{- 3 \cdot 5}{1} \cdot \frac{5}{5} + \frac{15}{5}$

Step 3.9

Multiply $\frac{- 3 \cdot 5}{1}$ by $\frac{5}{5}$ .

$\frac{25 \cdot 5}{5} + \frac{16 \cdot 5}{5} + \frac{- 3 \cdot 5 \cdot 5}{5} + \frac{15}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{25 \cdot 5 + 16 \cdot 5 - 3 \cdot 5 \cdot 5 + 15}{5}$

Step 5

Simplify each term.

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Step 5.1

Multiply $25$ by $5$ .

$\frac{125 + 16 \cdot 5 - 3 \cdot 5 \cdot 5 + 15}{5}$

Step 5.2

Multiply $16$ by $5$ .

$\frac{125 + 80 - 3 \cdot 5 \cdot 5 + 15}{5}$

Step 5.3

Multiply $- 3 \cdot 5 \cdot 5$ .

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Step 5.3.1

Multiply $- 3$ by $5$ .

$\frac{125 + 80 - 15 \cdot 5 + 15}{5}$

Step 5.3.2

Multiply $- 15$ by $5$ .

$\frac{125 + 80 - 75 + 15}{5}$

Step 6

Simplify the expression.

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Step 6.1

Add $125$ and $80$ .

$\frac{205 - 75 + 15}{5}$

Step 6.2

Subtract $75$ from $205$ .

$\frac{130 + 15}{5}$

Step 6.3

Add $130$ and $15$ .

$\frac{145}{5}$

Step 6.4

Divide $145$ by $5$ .

$29$