Evaluate (13+(7^2)÷7)/(9-20÷4-16)

$\frac{13 + 7^{2} \div 7}{9 - 20 \div 4 - 16}$

Step 1

Reduce the expression by cancelling the common factors.

Cancel the common factor of $7^{2}$ and $7$ .

Factor $7$ out of $7^{2}$ .

$\frac{13 + 7 \cdot 7 \div 7}{9 - 20 \div 4 - 16}$

Cancel the common factors.

Factor $7$ out of $7$ .

$\frac{13 + 7 \cdot 7 \div 7 (1)}{9 - 20 \div 4 - 16}$

Cancel the common factor.

$\frac{13 + 7 \cdot 7 \div 7 \cdot 1}{9 - 20 \div 4 - 16}$

Rewrite the expression.

$\frac{13 + \frac{7}{1}}{9 - 20 \div 4 - 16}$

Divide $7$ by $1$ .

$\frac{13 + 7}{9 - 20 \div 4 - 16}$

Cancel the common factor of $20$ and $4$ .

Factor $4$ out of $20$ .

$\frac{13 + 7}{9 - 4 \cdot 5 \div 4 - 16}$

Cancel the common factors.

Factor $4$ out of $4$ .

$\frac{13 + 7}{9 - 4 \cdot 5 \div 4 (1) - 16}$

Cancel the common factor.

$\frac{13 + 7}{9 - 4 \cdot 5 \div 4 \cdot 1 - 16}$

Rewrite the expression.

$\frac{13 + 7}{9 - \frac{5}{1} - 16}$

Divide $5$ by $1$ .

$\frac{13 + 7}{9 - 1 \cdot 5 - 16}$

Add $13$ and $7$ .

$\frac{20}{9 - 1 \cdot 5 - 16}$

Step 2

Simplify the denominator.

Multiply $- 1$ by $5$ .

$\frac{20}{9 - 5 - 16}$

Subtract $5$ from $9$ .

$\frac{20}{4 - 16}$

Subtract $16$ from $4$ .

$\frac{20}{- 12}$

Step 3

Reduce the expression by cancelling the common factors.

Cancel the common factor of $20$ and $- 12$ .

Factor $4$ out of $20$ .

$\frac{4 (5)}{- 12}$

Cancel the common factors.

Factor $4$ out of $- 12$ .

$\frac{4 \cdot 5}{4 \cdot - 3}$

Cancel the common factor.

$\frac{4 \cdot 5}{4 \cdot - 3}$

Rewrite the expression.

$\frac{5}{- 3}$

Move the negative in front of the fraction.

$- \frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{3}$

Decimal Form:

$- 1.\overline{6}$

Mixed Number Form:

$- 1 \frac{2}{3}$

Evaluate (13+(7^2)÷7)/(9-20÷4-16)

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