Basic Math Examples

$7 \cdot 3 \frac{9}{15}$

Step 1

Convert $3 \frac{9}{15}$ to an improper fraction.

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

$7 \cdot (3 + \frac{9}{15})$

Add $3$ and $\frac{9}{15}$ .

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To write $3$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$7 \cdot (3 \cdot \frac{15}{15} + \frac{9}{15})$

Combine $3$ and $\frac{15}{15}$ .

$7 \cdot (\frac{3 \cdot 15}{15} + \frac{9}{15})$

Combine the numerators over the common denominator.

$7 \cdot \frac{3 \cdot 15 + 9}{15}$

Simplify the numerator.

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Multiply $3$ by $15$ .

$7 \cdot \frac{45 + 9}{15}$

Add $45$ and $9$ .

$7 \cdot \frac{54}{15}$

Step 2

Cancel the common factor of $54$ and $15$ .

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Factor $3$ out of $54$ .

$7 \cdot \frac{3 (18)}{15}$

Cancel the common factors.

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Factor $3$ out of $15$ .

$7 \cdot \frac{3 \cdot 18}{3 \cdot 5}$

Cancel the common factor.

$7 \cdot \frac{3 \cdot 18}{3 \cdot 5}$

Rewrite the expression.

$7 \cdot \frac{18}{5}$

Step 3

Multiply $7 (\frac{18}{5})$ .

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Combine $7$ and $\frac{18}{5}$ .

$\frac{7 \cdot 18}{5}$

Multiply $7$ by $18$ .

$\frac{126}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{126}{5}$

Decimal Form:

$25.2$

Mixed Number Form:

$25 \frac{1}{5}$