Basic Math Examples

$7 \cdot 3 + 2 \div 7 \div 7$

Step 1

Simplify each term.

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Step 1.1

Multiply $7$ by $3$ .

$21 + 2 \div 7 \div 7$

Step 1.2

Rewrite the division as a fraction.

$21 + \frac{2 \div 7}{7}$

Step 1.3

Multiply the numerator by the reciprocal of the denominator.

$21 + 2 \div 7 \cdot \frac{1}{7}$

Step 1.4

Rewrite the division as a fraction.

$21 + \frac{2}{7} \cdot \frac{1}{7}$

Step 1.5

Multiply $\frac{2}{7} \cdot \frac{1}{7}$ .

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Step 1.5.1

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

$21 + \frac{2}{7 \cdot 7}$

Step 1.5.2

Multiply $7$ by $7$ .

$21 + \frac{2}{49}$

Step 2

To write $21$ as a fraction with a common denominator, multiply by $\frac{49}{49}$ .

$21 \cdot \frac{49}{49} + \frac{2}{49}$

Step 3

Combine $21$ and $\frac{49}{49}$ .

$\frac{21 \cdot 49}{49} + \frac{2}{49}$

Step 4

Combine the numerators over the common denominator.

$\frac{21 \cdot 49 + 2}{49}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $21$ by $49$ .

$\frac{1029 + 2}{49}$

Step 5.2

Add $1029$ and $2$ .

$\frac{1031}{49}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1031}{49}$

Decimal Form:

$21.04081632 \dots$

Mixed Number Form:

$21 \frac{2}{49}$