Algebra Examples

$6 \frac{6}{7} \div 4$

Convert $6 \frac{6}{7}$ to an improper fraction.

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

$(6 + \frac{6}{7}) \div 4$

Add $6$ and $\frac{6}{7}$ .

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To write $6$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$(6 \cdot \frac{7}{7} + \frac{6}{7}) \div 4$

Combine $6$ and $\frac{7}{7}$ .

$(\frac{6 \cdot 7}{7} + \frac{6}{7}) \div 4$

Combine the numerators over the common denominator.

$\frac{6 \cdot 7 + 6}{7} \div 4$

Simplify the numerator.

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Multiply $6$ by $7$ .

$\frac{42 + 6}{7} \div 4$

Add $42$ and $6$ .

$\frac{48}{7} \div 4$

Rewrite the division as a fraction.

$\frac{\frac{48}{7}}{4}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{48}{7} \cdot \frac{1}{4}$

Cancel the common factor of $4$ .

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Factor $4$ out of $48$ .

$\frac{4 (12)}{7} \cdot \frac{1}{4}$

Cancel the common factor.

$\frac{4 \cdot 12}{7} \cdot \frac{1}{4}$

Rewrite the expression.

$\frac{12}{7}$