Basic Math Examples

46 \cdot 1 \frac{1}{2}

$46 \cdot 1 \frac{1}{2}$

Step 1

Convert

1 \frac{1}{2}

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

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Step 1.1

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

46 \cdot (1 + \frac{1}{2})

$46 \cdot (1 + \frac{1}{2})$

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

46 \cdot (\frac{2}{2} + \frac{1}{2})

$46 \cdot (\frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine the numerators over the common denominator.

46 \cdot \frac{2 + 1}{2}

$46 \cdot \frac{2 + 1}{2}$

Step 1.2.3

Add

2

$2$ and

1

$1$ .

46 \cdot \frac{3}{2}

$46 \cdot \frac{3}{2}$

46 \cdot \frac{3}{2}

$46 \cdot \frac{3}{2}$

46 \cdot \frac{3}{2}

$46 \cdot \frac{3}{2}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

46

$46$ .

2 (23) \cdot \frac{3}{2}

$2 (23) \cdot \frac{3}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot 23 \cdot \frac{3}{2}$

Step 2.3

Rewrite the expression.

$23 \cdot 3$

Step 3

Multiply

$23$ by

$3$ .

$69$