Basic Math Examples

15 \cdot 3 \frac{2}{7}

$15 \cdot 3 \frac{2}{7}$

Step 1

Convert

3 \frac{2}{7}

$3 \frac{2}{7}$ to an improper fraction.

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Step 1.1

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

15 \cdot (3 + \frac{2}{7})

$15 \cdot (3 + \frac{2}{7})$

Step 1.2

Add

3

$3$ and

\frac{2}{7}

$\frac{2}{7}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

15 \cdot (3 \cdot \frac{7}{7} + \frac{2}{7})

$15 \cdot (3 \cdot \frac{7}{7} + \frac{2}{7})$

Step 1.2.2

Combine

3

$3$ and

\frac{7}{7}

$\frac{7}{7}$ .

15 \cdot (\frac{3 \cdot 7}{7} + \frac{2}{7})

$15 \cdot (\frac{3 \cdot 7}{7} + \frac{2}{7})$

Step 1.2.3

Combine the numerators over the common denominator.

15 \cdot \frac{3 \cdot 7 + 2}{7}

$15 \cdot \frac{3 \cdot 7 + 2}{7}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

7

$7$ .

15 \cdot \frac{21 + 2}{7}

$15 \cdot \frac{21 + 2}{7}$

Step 1.2.4.2

Add

21

$21$ and

2

$2$ .

15 \cdot \frac{23}{7}

$15 \cdot \frac{23}{7}$

15 \cdot \frac{23}{7}

$15 \cdot \frac{23}{7}$

15 \cdot \frac{23}{7}

$15 \cdot \frac{23}{7}$

15 \cdot \frac{23}{7}

$15 \cdot \frac{23}{7}$

Step 2

Multiply

15 (\frac{23}{7})

$15 (\frac{23}{7})$ .

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Step 2.1

Combine

15

$15$ and

\frac{23}{7}

$\frac{23}{7}$ .

\frac{15 \cdot 23}{7}

$\frac{15 \cdot 23}{7}$

Step 2.2

Multiply

15

$15$ by

23

$23$ .

\frac{345}{7}

$\frac{345}{7}$

\frac{345}{7}

$\frac{345}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{345}{7}

$\frac{345}{7}$

Decimal Form:

49.28571428 \dots

$49.28571428 \dots$

Mixed Number Form:

49 \frac{2}{7}

$49 \frac{2}{7}$