Basic Math Examples

$1 \frac{1}{2} \cdot 1 \frac{3}{4}$

Step 1

Convert

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

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Step 1.1

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

$(1 + \frac{1}{2}) \cdot 1 \frac{3}{4}$

Step 1.2

Add

$1$ and

$\frac{1}{2}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

$(\frac{2}{2} + \frac{1}{2}) \cdot 1 \frac{3}{4}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{2 + 1}{2} \cdot 1 \frac{3}{4}$

Step 1.2.3

Add

$2$ and

$1$ .

$\frac{3}{2} \cdot 1 \frac{3}{4}$

Step 2

Convert

$1 \frac{3}{4}$ to an improper fraction.

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Step 2.1

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

$\frac{3}{2} \cdot (1 + \frac{3}{4})$

Step 2.2

Add

$1$ and

$\frac{3}{4}$ .

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Step 2.2.1

Write

$1$ as a fraction with a common denominator.

$\frac{3}{2} \cdot (\frac{4}{4} + \frac{3}{4})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{3}{2} \cdot \frac{4 + 3}{4}$

Step 2.2.3

Add

$4$ and

$3$ .

$\frac{3}{2} \cdot \frac{7}{4}$

Step 3

Multiply

$\frac{3}{2} \cdot \frac{7}{4}$ .

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Step 3.1

Multiply

$\frac{3}{2}$ by

$\frac{7}{4}$ .

$\frac{3 \cdot 7}{2 \cdot 4}$

Step 3.2

Multiply

$3$ by

$7$ .

$\frac{21}{2 \cdot 4}$

Step 3.3

Multiply

$2$ by

$4$ .

$\frac{21}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{8}$

Decimal Form:

$2.625$

Mixed Number Form:

$2 \frac{5}{8}$