Basic Math Examples

1 \frac{9}{16} \cdot 68

$1 \frac{9}{16} \cdot 68$

Step 1

Convert

1 \frac{9}{16}

$1 \frac{9}{16}$ to an improper fraction.

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Step 1.1

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

(1 + \frac{9}{16}) \cdot 68

$(1 + \frac{9}{16}) \cdot 68$

Step 1.2

Add

1

$1$ and

\frac{9}{16}

$\frac{9}{16}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{16}{16} + \frac{9}{16}) \cdot 68

$(\frac{16}{16} + \frac{9}{16}) \cdot 68$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{16 + 9}{16} \cdot 68

$\frac{16 + 9}{16} \cdot 68$

Step 1.2.3

Add

16

$16$ and

9

$9$ .

\frac{25}{16} \cdot 68

$\frac{25}{16} \cdot 68$

\frac{25}{16} \cdot 68

$\frac{25}{16} \cdot 68$

\frac{25}{16} \cdot 68

$\frac{25}{16} \cdot 68$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

16

$16$ .

\frac{25}{4 (4)} \cdot 68

$\frac{25}{4 (4)} \cdot 68$

Step 2.2

Factor

4

$4$ out of

68

$68$ .

\frac{25}{4 \cdot 4} \cdot (4 \cdot 17)

$\frac{25}{4 \cdot 4} \cdot (4 \cdot 17)$

Step 2.3

Cancel the common factor.

$\frac{25}{4 \cdot 4} \cdot (4 \cdot 17)$

Step 2.4

Rewrite the expression.

$\frac{25}{4} \cdot 17$

Step 3

Combine

$\frac{25}{4}$ and

$17$ .

$\frac{25 \cdot 17}{4}$

Step 4

Multiply

$25$ by

$17$ .

$\frac{425}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{425}{4}$

Decimal Form:

$106.25$

Mixed Number Form:

$106 \frac{1}{4}$

$1 \frac{9}{16} \cdot 68$

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