Evaluate (43-1)/(4+2)+10

$\frac{43 - 1}{4 + 2} + 10$

Step 1

Subtract $1$ from $43$ .

$\frac{42}{4 + 2} + 10$

Step 2

Simplify each term.

Cancel the common factor of $42$ and $4 + 2$ .

Factor $2$ out of $42$ .

$\frac{2 \cdot 21}{4 + 2} + 10$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 \cdot 21}{2 (2) + 2} + 10$

Factor $2$ out of $2$ .

$\frac{2 \cdot 21}{2 \cdot 2 + 2 \cdot 1} + 10$

Factor $2$ out of $2 \cdot 2 + 2 \cdot 1$ .

$\frac{2 \cdot 21}{2 \cdot (2 + 1)} + 10$

Cancel the common factor.

$\frac{2 \cdot 21}{2 \cdot (2 + 1)} + 10$

Rewrite the expression.

$\frac{21}{2 + 1} + 10$

$\frac{21}{2 + 1} + 10$

$\frac{21}{2 + 1} + 10$

Add $2$ and $1$ .

$\frac{21}{3} + 10$

Divide $21$ by $3$ .

$7 + 10$

$7 + 10$

Step 3

Add $7$ and $10$ .

$17$

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