Basic Math Examples

15 \frac{3}{4} \times 2

$15 \frac{3}{4} \times 2$

Step 1

Convert

15 \frac{3}{4}

$15 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

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

$(15 + \frac{3}{4}) \cdot 2$

Step 1.2

Add

15

$15$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

15

$15$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

$(15 \cdot \frac{4}{4} + \frac{3}{4}) \cdot 2$

Step 1.2.2

Combine

15

$15$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{15 \cdot 4}{4} + \frac{3}{4}) \cdot 2

$(\frac{15 \cdot 4}{4} + \frac{3}{4}) \cdot 2$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{15 \cdot 4 + 3}{4} \cdot 2

$\frac{15 \cdot 4 + 3}{4} \cdot 2$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

15

$15$ by

4

$4$ .

\frac{60 + 3}{4} \cdot 2

$\frac{60 + 3}{4} \cdot 2$

Step 1.2.4.2

Add

60

$60$ and

3

$3$ .

\frac{63}{4} \cdot 2

$\frac{63}{4} \cdot 2$

\frac{63}{4} \cdot 2

$\frac{63}{4} \cdot 2$

\frac{63}{4} \cdot 2

$\frac{63}{4} \cdot 2$

\frac{63}{4} \cdot 2

$\frac{63}{4} \cdot 2$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{63}{2 (2)} \cdot 2

$\frac{63}{2 (2)} \cdot 2$

Step 2.2

Cancel the common factor.

$\frac{63}{2 \cdot 2} \cdot 2$

Step 2.3

Rewrite the expression.

$\frac{63}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{63}{2}$

Decimal Form:

$31.5$

Mixed Number Form:

$31 \frac{1}{2}$