Basic Math Examples

1 \frac{1}{2} \cdot 75

$1 \frac{1}{2} \cdot 75$

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.

(1 + \frac{1}{2}) \cdot 75

$(1 + \frac{1}{2}) \cdot 75$

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.

(\frac{2}{2} + \frac{1}{2}) \cdot 75

$(\frac{2}{2} + \frac{1}{2}) \cdot 75$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{2 + 1}{2} \cdot 75

$\frac{2 + 1}{2} \cdot 75$

Step 1.2.3

Add

2

$2$ and

1

$1$ .

\frac{3}{2} \cdot 75

$\frac{3}{2} \cdot 75$

\frac{3}{2} \cdot 75

$\frac{3}{2} \cdot 75$

\frac{3}{2} \cdot 75

$\frac{3}{2} \cdot 75$

Step 2

Multiply

\frac{3}{2} \cdot 75

$\frac{3}{2} \cdot 75$ .

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Step 2.1

Combine

\frac{3}{2}

$\frac{3}{2}$ and

75

$75$ .

\frac{3 \cdot 75}{2}

$\frac{3 \cdot 75}{2}$

Step 2.2

Multiply

3

$3$ by

75

$75$ .

\frac{225}{2}

$\frac{225}{2}$

\frac{225}{2}

$\frac{225}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{225}{2}

$\frac{225}{2}$

Decimal Form:

112.5

$112.5$

Mixed Number Form:

112 \frac{1}{2}

$112 \frac{1}{2}$