Basic Math Examples

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

Step 1

Convert

$3 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add

$3$ and

$\frac{1}{2}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

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

Step 1.2.2

Combine

$3$ and

$\frac{2}{2}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$2$ .

$7 \div \frac{6 + 1}{2}$

Step 1.2.4.2

Add

$6$ and

$1$ .

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

Step 2

To divide by a fraction, multiply by its reciprocal.

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

Step 3

Cancel the common factor of

$7$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$2$