Basic Math Examples

2 (18 \frac{1}{2} \cdot 4)

$2 (18 \frac{1}{2} \cdot 4)$

Step 1

Convert

18 \frac{1}{2}

$18 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

2 ((18 + \frac{1}{2}) \cdot 4)

$2 ((18 + \frac{1}{2}) \cdot 4)$

Step 1.2

Add

18

$18$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

18

$18$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

2 ((18 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 4)

$2 ((18 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 4)$

Step 1.2.2

Combine

18

$18$ and

\frac{2}{2}

$\frac{2}{2}$ .

2 ((\frac{18 \cdot 2}{2} + \frac{1}{2}) \cdot 4)

$2 ((\frac{18 \cdot 2}{2} + \frac{1}{2}) \cdot 4)$

Step 1.2.3

Combine the numerators over the common denominator.

2 (\frac{18 \cdot 2 + 1}{2} \cdot 4)

$2 (\frac{18 \cdot 2 + 1}{2} \cdot 4)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

18

$18$ by

2

$2$ .

2 (\frac{36 + 1}{2} \cdot 4)

$2 (\frac{36 + 1}{2} \cdot 4)$

Step 1.2.4.2

Add

36

$36$ and

1

$1$ .

2 (\frac{37}{2} \cdot 4)

$2 (\frac{37}{2} \cdot 4)$

2 (\frac{37}{2} \cdot 4)

$2 (\frac{37}{2} \cdot 4)$

2 (\frac{37}{2} \cdot 4)

$2 (\frac{37}{2} \cdot 4)$

2 (\frac{37}{2} \cdot 4)

$2 (\frac{37}{2} \cdot 4)$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

2 (\frac{37}{2} \cdot (2 (2)))

$2 (\frac{37}{2} \cdot (2 (2)))$

Step 2.2

Cancel the common factor.

$2 (\frac{37}{2} \cdot (2 \cdot 2))$

Step 2.3

Rewrite the expression.

$2 (37 \cdot 2)$

Step 3

Multiply.

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Step 3.1

Multiply

$37$ by

$2$ .

$2 \cdot 74$

Step 3.2

Multiply

$2$ by

$74$ .

$148$