Basic Math Examples

2 \frac{1}{5} \cdot 5

$2 \frac{1}{5} \cdot 5$

Step 1

Convert

2 \frac{1}{5}

$2 \frac{1}{5}$ to an improper fraction.

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Step 1.1

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

(2 + \frac{1}{5}) \cdot 5

$(2 + \frac{1}{5}) \cdot 5$

Step 1.2

Add

2

$2$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

(2 \cdot \frac{5}{5} + \frac{1}{5}) \cdot 5

$(2 \cdot \frac{5}{5} + \frac{1}{5}) \cdot 5$

Step 1.2.2

Combine

2

$2$ and

\frac{5}{5}

$\frac{5}{5}$ .

(\frac{2 \cdot 5}{5} + \frac{1}{5}) \cdot 5

$(\frac{2 \cdot 5}{5} + \frac{1}{5}) \cdot 5$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 5 + 1}{5} \cdot 5

$\frac{2 \cdot 5 + 1}{5} \cdot 5$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

5

$5$ .

\frac{10 + 1}{5} \cdot 5

$\frac{10 + 1}{5} \cdot 5$

Step 1.2.4.2

Add

10

$10$ and

1

$1$ .

\frac{11}{5} \cdot 5

$\frac{11}{5} \cdot 5$

\frac{11}{5} \cdot 5

$\frac{11}{5} \cdot 5$

\frac{11}{5} \cdot 5

$\frac{11}{5} \cdot 5$

\frac{11}{5} \cdot 5

$\frac{11}{5} \cdot 5$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Cancel the common factor.

$\frac{11}{5} \cdot 5$

Step 2.2

Rewrite the expression.

$11$