Evaluate ((56÷16)÷9*24)÷21

$56 \div 16 \div 9 \cdot 24 \div 21$

Step 1

Rewrite the division as a fraction.

$\frac{56 \div 16 \div 9 \cdot 24}{21}$

Step 2

Cancel the common factor of $56$ and $16$ .

Factor $8$ out of $56$ .

$\frac{8 (7) \div 16 \div 9 \cdot 24}{21}$

Cancel the common factors.

Factor $8$ out of $16$ .

$\frac{8 \cdot 7 \div 8 \cdot 2 \div 9 \cdot 24}{21}$

Cancel the common factor.

$\frac{8 \cdot 7 \div 8 \cdot 2 \div 9 \cdot 24}{21}$

Rewrite the expression.

$\frac{\frac{7}{2} \div 9 \cdot 24}{21}$

Step 3

Cancel the common factor of $24$ and $21$ .

Factor $3$ out of $\frac{7}{2} \div 9 \cdot 24$ .

$\frac{3 (\frac{7}{2} \div 9 \cdot 8)}{21}$

Cancel the common factors.

Factor $3$ out of $21$ .

$\frac{3 (\frac{7}{2} \div 9 \cdot 8)}{3 (7)}$

Cancel the common factor.

$\frac{3 (\frac{7}{2} \div 9 \cdot 8)}{3 \cdot 7}$

Rewrite the expression.

$\frac{\frac{7}{2} \div 9 \cdot 8}{7}$

Step 4

Combine $\frac{7}{2} \div 9$ and $8$ .

$\frac{\frac{\frac{7}{2} \cdot 8}{9}}{7}$

Step 5

Combine $\frac{7}{2}$ and $8$ .

$\frac{\frac{\frac{7 \cdot 8}{2}}{9}}{7}$

Step 6

Simplify the expression.

Multiply $7$ by $8$ .

$\frac{\frac{\frac{56}{2}}{9}}{7}$

Divide $56$ by $2$ .

$\frac{\frac{28}{9}}{7}$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$\frac{28}{9} \cdot \frac{1}{7}$

Step 8

Cancel the common factor of $7$ .

Factor $7$ out of $28$ .

$\frac{7 (4)}{9} \cdot \frac{1}{7}$

Cancel the common factor.

$\frac{7 \cdot 4}{9} \cdot \frac{1}{7}$

Rewrite the expression.

$\frac{4}{9}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{9}$

Decimal Form:

$0.\overline{4}$

Evaluate ((56÷16)÷9*24)÷21

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