Finite Math Examples

$\frac{2}{7} \div 1 \frac{1}{3}$

Step 1

Convert $1 \frac{1}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{2}{7} \div (1 + \frac{1}{3})$

Step 1.2

Add $1$ and $\frac{1}{3}$ .

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Step 1.2.1

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

$\frac{2}{7} \div (\frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{2}{7} \div \frac{3 + 1}{3}$

Step 1.2.3

Add $3$ and $1$ .

$\frac{2}{7} \div \frac{4}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{7} \cdot \frac{3}{4}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$\frac{2}{7} \cdot \frac{3}{2 (2)}$

Step 3.2

Cancel the common factor.

$\frac{2}{7} \cdot \frac{3}{2 \cdot 2}$

Step 3.3

Rewrite the expression.

$\frac{1}{7} \cdot \frac{3}{2}$

Step 4

Multiply $\frac{1}{7}$ by $\frac{3}{2}$ .

$\frac{3}{7 \cdot 2}$

Step 5

Multiply $7$ by $2$ .

$\frac{3}{14}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{14}$

Decimal Form:

$0.2\overline{142857}$