Basic Math Examples

$\frac{12}{5} \cdot (\frac{25}{7} + \frac{3}{14})$

Step 1

To write $\frac{25}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{12}{5} \cdot (\frac{25}{7} \cdot \frac{2}{2} + \frac{3}{14})$

Step 2

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{25}{7}$ by $\frac{2}{2}$ .

$\frac{12}{5} \cdot (\frac{25 \cdot 2}{7 \cdot 2} + \frac{3}{14})$

Step 2.2

Multiply $7$ by $2$ .

$\frac{12}{5} \cdot (\frac{25 \cdot 2}{14} + \frac{3}{14})$

Step 3

Combine the numerators over the common denominator.

$\frac{12}{5} \cdot \frac{25 \cdot 2 + 3}{14}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $25$ by $2$ .

$\frac{12}{5} \cdot \frac{50 + 3}{14}$

Step 4.2

Add $50$ and $3$ .

$\frac{12}{5} \cdot \frac{53}{14}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $12$ .

$\frac{2 (6)}{5} \cdot \frac{53}{14}$

Step 5.2

Factor $2$ out of $14$ .

$\frac{2 \cdot 6}{5} \cdot \frac{53}{2 \cdot 7}$

Step 5.3

Cancel the common factor.

$\frac{2 \cdot 6}{5} \cdot \frac{53}{2 \cdot 7}$

Step 5.4

Rewrite the expression.

$\frac{6}{5} \cdot \frac{53}{7}$

Step 6

Multiply $\frac{6}{5}$ by $\frac{53}{7}$ .

$\frac{6 \cdot 53}{5 \cdot 7}$

Step 7

Multiply.

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Step 7.1

Multiply $6$ by $53$ .

$\frac{318}{5 \cdot 7}$

Step 7.2

Multiply $5$ by $7$ .

$\frac{318}{35}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{318}{35}$

Decimal Form:

$9.08571428 \dots$

Mixed Number Form:

$9 \frac{3}{35}$