Basic Math Examples

4 \frac{2}{5} - 2 \frac{3}{5}

$4 \frac{2}{5} - 2 \frac{3}{5}$

Step 1

Convert

4 \frac{2}{5}

$4 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

4 + \frac{2}{5} - 2 \frac{3}{5}

$4 + \frac{2}{5} - 2 \frac{3}{5}$

Step 1.2

Add

4

$4$ and

\frac{2}{5}

$\frac{2}{5}$ .

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Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

4 \cdot \frac{5}{5} + \frac{2}{5} - 2 \frac{3}{5}

$4 \cdot \frac{5}{5} + \frac{2}{5} - 2 \frac{3}{5}$

Step 1.2.2

Combine

4

$4$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{4 \cdot 5}{5} + \frac{2}{5} - 2 \frac{3}{5}

$\frac{4 \cdot 5}{5} + \frac{2}{5} - 2 \frac{3}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 5 + 2}{5} - 2 \frac{3}{5}

$\frac{4 \cdot 5 + 2}{5} - 2 \frac{3}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

5

$5$ .

\frac{20 + 2}{5} - 2 \frac{3}{5}

$\frac{20 + 2}{5} - 2 \frac{3}{5}$

Step 1.2.4.2

Add

20

$20$ and

2

$2$ .

\frac{22}{5} - 2 \frac{3}{5}

$\frac{22}{5} - 2 \frac{3}{5}$

\frac{22}{5} - 2 \frac{3}{5}

$\frac{22}{5} - 2 \frac{3}{5}$

\frac{22}{5} - 2 \frac{3}{5}

$\frac{22}{5} - 2 \frac{3}{5}$

\frac{22}{5} - 2 \frac{3}{5}

$\frac{22}{5} - 2 \frac{3}{5}$

Step 2

Convert

2 \frac{3}{5}

$2 \frac{3}{5}$ to an improper fraction.

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Step 2.1

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

\frac{22}{5} - (2 + \frac{3}{5})

$\frac{22}{5} - (2 + \frac{3}{5})$

Step 2.2

Add

$2$ and

$\frac{3}{5}$ .

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Step 2.2.1

To write

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

$\frac{5}{5}$ .

$\frac{22}{5} - (2 \cdot \frac{5}{5} + \frac{3}{5})$

Step 2.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$\frac{22}{5} - (\frac{2 \cdot 5}{5} + \frac{3}{5})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{22}{5} - \frac{2 \cdot 5 + 3}{5}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$2$ by

$5$ .

$\frac{22}{5} - \frac{10 + 3}{5}$

Step 2.2.4.2

Add

$10$ and

$3$ .

$\frac{22}{5} - \frac{13}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{22 - 13}{5}$

Step 4

Subtract

$13$ from

$22$ .

$\frac{9}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{5}$

Decimal Form:

$1.8$

Mixed Number Form:

$1 \frac{4}{5}$