Basic Math Examples

18 \frac{1}{4} \cdot 16

$18 \frac{1}{4} \cdot 16$

Step 1

Convert

18 \frac{1}{4}

$18 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

(18 + \frac{1}{4}) \cdot 16

$(18 + \frac{1}{4}) \cdot 16$

Step 1.2

Add

18

$18$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

18

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

\frac{4}{4}

$\frac{4}{4}$ .

(18 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 16

$(18 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 16$

Step 1.2.2

Combine

18

$18$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{18 \cdot 4}{4} + \frac{1}{4}) \cdot 16

$(\frac{18 \cdot 4}{4} + \frac{1}{4}) \cdot 16$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{18 \cdot 4 + 1}{4} \cdot 16

$\frac{18 \cdot 4 + 1}{4} \cdot 16$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

18

$18$ by

4

$4$ .

\frac{72 + 1}{4} \cdot 16

$\frac{72 + 1}{4} \cdot 16$

Step 1.2.4.2

Add

72

$72$ and

1

$1$ .

\frac{73}{4} \cdot 16

$\frac{73}{4} \cdot 16$

\frac{73}{4} \cdot 16

$\frac{73}{4} \cdot 16$

\frac{73}{4} \cdot 16

$\frac{73}{4} \cdot 16$

\frac{73}{4} \cdot 16

$\frac{73}{4} \cdot 16$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

16

$16$ .

\frac{73}{4} \cdot (4 (4))

$\frac{73}{4} \cdot (4 (4))$

Step 2.2

Cancel the common factor.

$\frac{73}{4} \cdot (4 \cdot 4)$

Step 2.3

Rewrite the expression.

$73 \cdot 4$

Step 3

Multiply

$73$ by

$4$ .

$292$