Basic Math Examples

$\frac{2}{1} + \frac{3}{5} \div \frac{1}{2} + \frac{5}{1}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{2 + 5}{1} + \frac{\frac{3}{5}}{\frac{1}{2}}$

Step 1.2

Add $2$ and $5$ .

$\frac{7}{1} + \frac{\frac{3}{5}}{\frac{1}{2}}$

Step 2

Simplify each term.

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Step 2.1

Divide $7$ by $1$ .

$7 + \frac{\frac{3}{5}}{\frac{1}{2}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

Step 2.3

Multiply $\frac{3}{5} \cdot 2$ .

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Step 2.3.1

Combine $\frac{3}{5}$ and $2$ .

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

Step 2.3.2

Multiply $3$ by $2$ .

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

Step 3

To write $7$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 4

Combine $7$ and $\frac{5}{5}$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

Multiply $7$ by $5$ .

$\frac{35 + 6}{5}$

Step 6.2

Add $35$ and $6$ .

$\frac{41}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{41}{5}$

Decimal Form:

$8.2$

Mixed Number Form:

$8 \frac{1}{5}$