Basic Math Examples

$\frac{1}{30} \cdot \frac{5 \cdot 30 - 9}{4 \cdot 30 + 7}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $5$ by $30$ .

$\frac{1}{30} \cdot \frac{150 - 9}{4 \cdot 30 + 7}$

Step 1.2

Subtract $9$ from $150$ .

$\frac{1}{30} \cdot \frac{141}{4 \cdot 30 + 7}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $4$ by $30$ .

$\frac{1}{30} \cdot \frac{141}{120 + 7}$

Step 2.2

Add $120$ and $7$ .

$\frac{1}{30} \cdot \frac{141}{127}$

Step 3

Simplify terms.

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Step 3.1

Cancel the common factor of $3$ .

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Step 3.1.1

Factor $3$ out of $30$ .

$\frac{1}{3 (10)} \cdot \frac{141}{127}$

Step 3.1.2

Factor $3$ out of $141$ .

$\frac{1}{3 \cdot 10} \cdot \frac{3 \cdot 47}{127}$

Step 3.1.3

Cancel the common factor.

$\frac{1}{3 \cdot 10} \cdot \frac{3 \cdot 47}{127}$

Step 3.1.4

Rewrite the expression.

$\frac{1}{10} \cdot \frac{47}{127}$

Step 3.2

Multiply $\frac{1}{10}$ by $\frac{47}{127}$ .

$\frac{47}{10 \cdot 127}$

Step 3.3

Multiply $10$ by $127$ .

$\frac{47}{1270}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{47}{1270}$

Decimal Form:

$0.03700787 \dots$