Basic Math Examples

2 \frac{1}{8} \cdot 16

$2 \frac{1}{8} \cdot 16$

Step 1

Convert

2 \frac{1}{8}

$2 \frac{1}{8}$ to an improper fraction.

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Step 1.1

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

(2 + \frac{1}{8}) \cdot 16

$(2 + \frac{1}{8}) \cdot 16$

Step 1.2

Add

2

$2$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

(2 \cdot \frac{8}{8} + \frac{1}{8}) \cdot 16

$(2 \cdot \frac{8}{8} + \frac{1}{8}) \cdot 16$

Step 1.2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{2 \cdot 8}{8} + \frac{1}{8}) \cdot 16

$(\frac{2 \cdot 8}{8} + \frac{1}{8}) \cdot 16$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 8 + 1}{8} \cdot 16

$\frac{2 \cdot 8 + 1}{8} \cdot 16$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

8

$8$ .

\frac{16 + 1}{8} \cdot 16

$\frac{16 + 1}{8} \cdot 16$

Step 1.2.4.2

Add

16

$16$ and

1

$1$ .

\frac{17}{8} \cdot 16

$\frac{17}{8} \cdot 16$

\frac{17}{8} \cdot 16

$\frac{17}{8} \cdot 16$

\frac{17}{8} \cdot 16

$\frac{17}{8} \cdot 16$

\frac{17}{8} \cdot 16

$\frac{17}{8} \cdot 16$

Step 2

Cancel the common factor of

8

$8$ .

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Step 2.1

Factor

8

$8$ out of

16

$16$ .

\frac{17}{8} \cdot (8 (2))

$\frac{17}{8} \cdot (8 (2))$

Step 2.2

Cancel the common factor.

$\frac{17}{8} \cdot (8 \cdot 2)$

Step 2.3

Rewrite the expression.

$17 \cdot 2$

Step 3

Multiply

$17$ by

$2$ .

$34$