Basic Math Examples

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

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

Step 1

Convert

1 \frac{3}{4}

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

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

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

4

$4$ and

3

$3$ .

\frac{7}{4} \cdot 3

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

\frac{7}{4} \cdot 3

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

\frac{7}{4} \cdot 3

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

Step 2

Multiply

\frac{7}{4} \cdot 3

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

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Step 2.1

Combine

\frac{7}{4}

$\frac{7}{4}$ and

3

$3$ .

\frac{7 \cdot 3}{4}

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

Step 2.2

Multiply

7

$7$ by

3

$3$ .

\frac{21}{4}

$\frac{21}{4}$

\frac{21}{4}

$\frac{21}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{21}{4}

$\frac{21}{4}$

Decimal Form:

5.25

$5.25$

Mixed Number Form:

5 \frac{1}{4}

$5 \frac{1}{4}$