Basic Math Examples

$\frac{2}{3} \cdot \frac{5}{4} + \frac{\frac{10}{7}}{\frac{5}{14}}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Factor $2$ out of $4$ .

$\frac{2}{3} \cdot \frac{5}{2 (2)} + \frac{\frac{10}{7}}{\frac{5}{14}}$

Step 1.1.2

Cancel the common factor.

$\frac{2}{3} \cdot \frac{5}{2 \cdot 2} + \frac{\frac{10}{7}}{\frac{5}{14}}$

Step 1.1.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{5}{2} + \frac{\frac{10}{7}}{\frac{5}{14}}$

Step 1.2

Multiply $\frac{1}{3}$ by $\frac{5}{2}$ .

$\frac{5}{3 \cdot 2} + \frac{\frac{10}{7}}{\frac{5}{14}}$

Step 1.3

Multiply $3$ by $2$ .

$\frac{5}{6} + \frac{\frac{10}{7}}{\frac{5}{14}}$

Step 1.4

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} + \frac{10}{7} \cdot \frac{14}{5}$

Step 1.5

Cancel the common factor of $5$ .

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Step 1.5.1

Factor $5$ out of $10$ .

$\frac{5}{6} + \frac{5 (2)}{7} \cdot \frac{14}{5}$

Step 1.5.2

Cancel the common factor.

$\frac{5}{6} + \frac{5 \cdot 2}{7} \cdot \frac{14}{5}$

Step 1.5.3

Rewrite the expression.

$\frac{5}{6} + \frac{2}{7} \cdot 14$

Step 1.6

Cancel the common factor of $7$ .

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Step 1.6.1

Factor $7$ out of $14$ .

$\frac{5}{6} + \frac{2}{7} \cdot (7 (2))$

Step 1.6.2

Cancel the common factor.

$\frac{5}{6} + \frac{2}{7} \cdot (7 \cdot 2)$

Step 1.6.3

Rewrite the expression.

$\frac{5}{6} + 2 \cdot 2$

Step 1.7

Multiply $2$ by $2$ .

$\frac{5}{6} + 4$

Step 2

To write $4$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{5}{6} + 4 \cdot \frac{6}{6}$

Step 3

Combine $4$ and $\frac{6}{6}$ .

$\frac{5}{6} + \frac{4 \cdot 6}{6}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 4 \cdot 6}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $6$ .

$\frac{5 + 24}{6}$

Step 5.2

Add $5$ and $24$ .

$\frac{29}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{6}$

Decimal Form:

$4.8\overline{3}$

Mixed Number Form:

$4 \frac{5}{6}$