Pre-Algebra Examples

$\frac{2}{5} + (\frac{4}{7} + \frac{3}{5})$

Step 1

Remove parentheses.

$\frac{2}{5} + \frac{4}{7} + \frac{3}{5}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 + 3}{5} + \frac{4}{7}$

Step 3

Simplify the expression.

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Step 3.1

Add $2$ and $3$ .

$\frac{5}{5} + \frac{4}{7}$

Step 3.2

Divide $5$ by $5$ .

$1 + \frac{4}{7}$

Step 3.3

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

$\frac{7}{7} + \frac{4}{7}$

Step 3.4

Combine the numerators over the common denominator.

$\frac{7 + 4}{7}$

Step 3.5

Add $7$ and $4$ .

$\frac{11}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{7}$

Decimal Form:

$1.\overline{571428}$

Mixed Number Form:

$1 \frac{4}{7}$