Basic Math Examples

$(\frac{4}{7} - \frac{1}{7}) \div \frac{15}{7} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Combine the numerators over the common denominator.

$\frac{4 - 1}{7} \div \frac{15}{7} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.1.2

Subtract $1$ from $4$ .

$\frac{3}{7} \div \frac{15}{7} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{7} \cdot \frac{7}{15} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $15$ .

$\frac{3}{7} \cdot \frac{7}{3 (5)} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.3.2

Cancel the common factor.

$\frac{3}{7} \cdot \frac{7}{3 \cdot 5} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.3.3

Rewrite the expression.

$\frac{1}{7} \cdot \frac{7}{5} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.4

Cancel the common factor of $7$ .

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Step 1.4.1

Cancel the common factor.

$\frac{1}{7} \cdot \frac{7}{5} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.4.2

Rewrite the expression.

$\frac{1}{5} \cdot \frac{1}{5} + {(\frac{5}{25})}^{2}$

Step 1.5

Multiply $\frac{1}{5} \cdot \frac{1}{5}$ .

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Step 1.5.1

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

$\frac{1}{5 \cdot 5} + {(\frac{5}{25})}^{2}$

Step 1.5.2

Multiply $5$ by $5$ .

$\frac{1}{25} + {(\frac{5}{25})}^{2}$

Step 1.6

Cancel the common factor of $5$ and $25$ .

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Step 1.6.1

Factor $5$ out of $5$ .

$\frac{1}{25} + {(\frac{5 (1)}{25})}^{2}$

Step 1.6.2

Cancel the common factors.

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Step 1.6.2.1

Factor $5$ out of $25$ .

$\frac{1}{25} + {(\frac{5 \cdot 1}{5 \cdot 5})}^{2}$

Step 1.6.2.2

Cancel the common factor.

$\frac{1}{25} + {(\frac{5 \cdot 1}{5 \cdot 5})}^{2}$

Step 1.6.2.3

Rewrite the expression.

$\frac{1}{25} + {(\frac{1}{5})}^{2}$

Step 1.7

Apply the product rule to $\frac{1}{5}$ .

$\frac{1}{25} + \frac{1^{2}}{5^{2}}$

Step 1.8

One to any power is one.

$\frac{1}{25} + \frac{1}{5^{2}}$

Step 1.9

Raise $5$ to the power of $2$ .

$\frac{1}{25} + \frac{1}{25}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{1 + 1}{25}$

Step 2.2

Add $1$ and $1$ .

$\frac{2}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{25}$

Decimal Form:

$0.08$