Basic Math Examples

2 \frac{3}{5} - 1 \frac{1}{5}

$2 \frac{3}{5} - 1 \frac{1}{5}$

Step 1

Convert

2 \frac{3}{5}

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

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Step 1.1

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

2 + \frac{3}{5} - 1 \frac{1}{5}

$2 + \frac{3}{5} - 1 \frac{1}{5}$

Step 1.2

Add

2

$2$ and

\frac{3}{5}

$\frac{3}{5}$ .

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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{3}{5} - 1 \frac{1}{5}

$2 \cdot \frac{5}{5} + \frac{3}{5} - 1 \frac{1}{5}$

Step 1.2.2

Combine

2

$2$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{2 \cdot 5}{5} + \frac{3}{5} - 1 \frac{1}{5}

$\frac{2 \cdot 5}{5} + \frac{3}{5} - 1 \frac{1}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 5 + 3}{5} - 1 \frac{1}{5}

$\frac{2 \cdot 5 + 3}{5} - 1 \frac{1}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

5

$5$ .

\frac{10 + 3}{5} - 1 \frac{1}{5}

$\frac{10 + 3}{5} - 1 \frac{1}{5}$

Step 1.2.4.2

Add

10

$10$ and

3

$3$ .

\frac{13}{5} - 1 \frac{1}{5}

$\frac{13}{5} - 1 \frac{1}{5}$

\frac{13}{5} - 1 \frac{1}{5}

$\frac{13}{5} - 1 \frac{1}{5}$

\frac{13}{5} - 1 \frac{1}{5}

$\frac{13}{5} - 1 \frac{1}{5}$

\frac{13}{5} - 1 \frac{1}{5}

$\frac{13}{5} - 1 \frac{1}{5}$

Step 2

Convert

1 \frac{1}{5}

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

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Step 2.1

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

\frac{13}{5} - (1 + \frac{1}{5})

$\frac{13}{5} - (1 + \frac{1}{5})$

Step 2.2

Add

1

$1$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{13}{5} - (\frac{5}{5} + \frac{1}{5})

$\frac{13}{5} - (\frac{5}{5} + \frac{1}{5})$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{13}{5} - \frac{5 + 1}{5}

$\frac{13}{5} - \frac{5 + 1}{5}$

Step 2.2.3

Add

5

$5$ and

1

$1$ .

\frac{13}{5} - \frac{6}{5}

$\frac{13}{5} - \frac{6}{5}$

\frac{13}{5} - \frac{6}{5}

$\frac{13}{5} - \frac{6}{5}$

\frac{13}{5} - \frac{6}{5}

$\frac{13}{5} - \frac{6}{5}$

Step 3

Combine the numerators over the common denominator.

\frac{13 - 6}{5}

$\frac{13 - 6}{5}$

Step 4

Subtract

6

$6$ from

13

$13$ .

\frac{7}{5}

$\frac{7}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{7}{5}

$\frac{7}{5}$

Decimal Form:

1.4

$1.4$

Mixed Number Form:

1 \frac{2}{5}

$1 \frac{2}{5}$