Algebra Examples

$(3.5 \cdot \frac{2}{7} - \frac{2}{3}) \div 16$

Step 1

Rewrite the division as a fraction.

$\frac{3.5 \cdot \frac{2}{7} - \frac{2}{3}}{16}$

Step 2

Simplify the numerator.

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Step 2.1

Cancel the common factor of $3.5$ .

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Step 2.1.1

Factor $3.5$ out of $7$ .

$\frac{3.5 \cdot \frac{2}{3.5 (2)} - \frac{2}{3}}{16}$

Step 2.1.2

Cancel the common factor.

$\frac{3.5 \cdot \frac{2}{3.5 \cdot 2} - \frac{2}{3}}{16}$

Step 2.1.3

Rewrite the expression.

$\frac{\frac{2}{2} - \frac{2}{3}}{16}$

Step 2.2

Divide $2$ by $2$ .

$\frac{1 - \frac{2}{3}}{16}$

Step 2.3

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

$\frac{\frac{3}{3} - \frac{2}{3}}{16}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{3 - 2}{3}}{16}$

Step 2.5

Subtract $2$ from $3$ .

$\frac{\frac{1}{3}}{16}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{3} \cdot \frac{1}{16}$

Step 4

Multiply $\frac{1}{3} \cdot \frac{1}{16}$ .

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Step 4.1

Multiply $\frac{1}{3}$ by $\frac{1}{16}$ .

$\frac{1}{3 \cdot 16}$

Step 4.2

Multiply $3$ by $16$ .

$\frac{1}{48}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{48}$

Decimal Form:

$0.0208\overline{3}$