Basic Math Examples

$\frac{5}{6} \cdot 3 \frac{3}{5}$

Step 1

Convert $3 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

$\frac{5}{6} \cdot (3 + \frac{3}{5})$

Step 1.2

Add $3$ and $\frac{3}{5}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{5}{6} \cdot (3 \cdot \frac{5}{5} + \frac{3}{5})$

Step 1.2.2

Combine $3$ and $\frac{5}{5}$ .

$\frac{5}{6} \cdot (\frac{3 \cdot 5}{5} + \frac{3}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5}{6} \cdot \frac{3 \cdot 5 + 3}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $5$ .

$\frac{5}{6} \cdot \frac{15 + 3}{5}$

Step 1.2.4.2

Add $15$ and $3$ .

$\frac{5}{6} \cdot \frac{18}{5}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$\frac{5}{6} \cdot \frac{18}{5}$

Step 2.2

Rewrite the expression.

$\frac{1}{6} \cdot 18$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Factor $6$ out of $18$ .

$\frac{1}{6} \cdot (6 (3))$

Step 3.2

Cancel the common factor.

$\frac{1}{6} \cdot (6 \cdot 3)$

Step 3.3

Rewrite the expression.

$3$