Basic Math Examples

$\frac{1}{4} + (\frac{5}{8} - \frac{3}{5})$

Step 1

Remove parentheses.

$\frac{1}{4} + \frac{5}{8} - \frac{3}{5}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{10}{10}$ .

$\frac{1}{4} \cdot \frac{10}{10} + \frac{5}{8} - \frac{3}{5}$

Step 2.2

Multiply $\frac{1}{4}$ by $\frac{10}{10}$ .

$\frac{10}{4 \cdot 10} + \frac{5}{8} - \frac{3}{5}$

Step 2.3

Multiply $\frac{5}{8}$ by $\frac{5}{5}$ .

$\frac{10}{4 \cdot 10} + \frac{5}{8} \cdot \frac{5}{5} - \frac{3}{5}$

Step 2.4

Multiply $\frac{5}{8}$ by $\frac{5}{5}$ .

$\frac{10}{4 \cdot 10} + \frac{5 \cdot 5}{8 \cdot 5} - \frac{3}{5}$

Step 2.5

Multiply $\frac{3}{5}$ by $\frac{8}{8}$ .

$\frac{10}{4 \cdot 10} + \frac{5 \cdot 5}{8 \cdot 5} - (\frac{3}{5} \cdot \frac{8}{8})$

Step 2.6

Multiply $\frac{3}{5}$ by $\frac{8}{8}$ .

$\frac{10}{4 \cdot 10} + \frac{5 \cdot 5}{8 \cdot 5} - \frac{3 \cdot 8}{5 \cdot 8}$

Step 2.7

Multiply $4$ by $10$ .

$\frac{10}{40} + \frac{5 \cdot 5}{8 \cdot 5} - \frac{3 \cdot 8}{5 \cdot 8}$

Step 2.8

Reorder the factors of $8 \cdot 5$ .

$\frac{10}{40} + \frac{5 \cdot 5}{5 \cdot 8} - \frac{3 \cdot 8}{5 \cdot 8}$

Step 2.9

Multiply $5$ by $8$ .

$\frac{10}{40} + \frac{5 \cdot 5}{40} - \frac{3 \cdot 8}{5 \cdot 8}$

Step 2.10

Multiply $5$ by $8$ .

$\frac{10}{40} + \frac{5 \cdot 5}{40} - \frac{3 \cdot 8}{40}$

Step 3

Combine the numerators over the common denominator.

$\frac{10 + 5 \cdot 5 - 3 \cdot 8}{40}$

Step 4

Simplify each term.

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Step 4.1

Multiply $5$ by $5$ .

$\frac{10 + 25 - 3 \cdot 8}{40}$

Step 4.2

Multiply $- 3$ by $8$ .

$\frac{10 + 25 - 24}{40}$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Add $10$ and $25$ .

$\frac{35 - 24}{40}$

Step 5.2

Subtract $24$ from $35$ .

$\frac{11}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{40}$

Decimal Form:

$0.275$