Basic Math Examples

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

Step 1

Convert $1 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{3}{5}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $5$ and $3$ .

$- \frac{8}{5} - (- 2 \frac{3}{5})$

Step 2

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

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Step 2.1

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

$- \frac{8}{5} - - (2 + \frac{3}{5})$

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 $\frac{5}{5}$ .

$- \frac{8}{5} - - (2 \cdot \frac{5}{5} + \frac{3}{5})$

Step 2.2.2

Combine $2$ and $\frac{5}{5}$ .

$- \frac{8}{5} - - (\frac{2 \cdot 5}{5} + \frac{3}{5})$

Step 2.2.3

Combine the numerators over the common denominator.

$- \frac{8}{5} - - \frac{2 \cdot 5 + 3}{5}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $2$ by $5$ .

$- \frac{8}{5} - - \frac{10 + 3}{5}$

Step 2.2.4.2

Add $10$ and $3$ .

$- \frac{8}{5} - - \frac{13}{5}$

Step 3

Multiply $- - \frac{13}{5}$ .

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Step 3.1

Multiply $- 1$ by $- 1$ .

$- \frac{8}{5} + 1 (\frac{13}{5})$

Step 3.2

Multiply $\frac{13}{5}$ by $1$ .

$- \frac{8}{5} + \frac{13}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 8 + 13}{5}$

Step 5

Add $- 8$ and $13$ .

$\frac{5}{5}$

Step 6

Divide $5$ by $5$ .

$1$