Basic Math Examples

$30 \cdot 3 \frac{9}{35}$

Step 1

Convert

$3 \frac{9}{35}$ to an improper fraction.

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Step 1.1

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

$30 \cdot (3 + \frac{9}{35})$

Step 1.2

Add

$3$ and

$\frac{9}{35}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{35}{35}$ .

$30 \cdot (3 \cdot \frac{35}{35} + \frac{9}{35})$

Step 1.2.2

Combine

$3$ and

$\frac{35}{35}$ .

$30 \cdot (\frac{3 \cdot 35}{35} + \frac{9}{35})$

Step 1.2.3

Combine the numerators over the common denominator.

$30 \cdot \frac{3 \cdot 35 + 9}{35}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$35$ .

$30 \cdot \frac{105 + 9}{35}$

Step 1.2.4.2

Add

$105$ and

$9$ .

$30 \cdot \frac{114}{35}$

Step 2

Cancel the common factor of

$5$ .

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Step 2.1

Factor

$5$ out of

$30$ .

$5 (6) \cdot \frac{114}{35}$

Step 2.2

Factor

$5$ out of

$35$ .

$5 \cdot 6 \cdot \frac{114}{5 \cdot 7}$

Step 2.3

Cancel the common factor.

$5 \cdot 6 \cdot \frac{114}{5 \cdot 7}$

Step 2.4

Rewrite the expression.

$6 \cdot \frac{114}{7}$

Step 3

Combine

$6$ and

$\frac{114}{7}$ .

$\frac{6 \cdot 114}{7}$

Step 4

Multiply

$6$ by

$114$ .

$\frac{684}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{684}{7}$

Decimal Form:

$97.71428571 \dots$

Mixed Number Form:

$97 \frac{5}{7}$