Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{9}{16}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $16$ and $9$ .

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

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $16$ .

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

Step 2.2

Factor $4$ out of $68$ .

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

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:

$106 \frac{1}{4}$