Basic Math Examples

$\frac{7}{5} - \frac{1}{5} + (\frac{3}{10} + \frac{1}{10})$

Step 1

Remove parentheses.

$\frac{7}{5} - \frac{1}{5} + \frac{3}{10} + \frac{1}{10}$

Step 2

Combine the numerators over the common denominator.

$\frac{7 - 1}{5} + \frac{3 + 1}{10}$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $1$ from $7$ .

$\frac{6}{5} + \frac{3 + 1}{10}$

Step 3.2

Add $3$ and $1$ .

$\frac{6}{5} + \frac{4}{10}$

Step 4

Cancel the common factor of $4$ and $10$ .

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Step 4.1

Factor $2$ out of $4$ .

$\frac{6}{5} + \frac{2 (2)}{10}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $10$ .

$\frac{6}{5} + \frac{2 \cdot 2}{2 \cdot 5}$

Step 4.2.2

Cancel the common factor.

$\frac{6}{5} + \frac{2 \cdot 2}{2 \cdot 5}$

Step 4.2.3

Rewrite the expression.

$\frac{6}{5} + \frac{2}{5}$

Step 5

Combine the numerators over the common denominator.

$\frac{6 + 2}{5}$

Step 6

Add $6$ and $2$ .

$\frac{8}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{5}$

Decimal Form:

$1.6$

Mixed Number Form:

$1 \frac{3}{5}$