Basic Math Examples

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

Step 1

To write $4 r$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

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

Step 2

Combine $4 r$ and $\frac{7}{7}$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Rewrite $\frac{4 r + 4 r \cdot 7}{7}$ in a factored form.

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Step 4.1

Factor $4 r$ out of $4 r + 4 r \cdot 7$ .

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Step 4.1.1

Factor $4 r$ out of $4 r$ .

$\frac{4 r (1) + 4 r \cdot 7}{7}$

Step 4.1.2

Factor $4 r$ out of $4 r \cdot 7$ .

$\frac{4 r (1) + 4 r (7)}{7}$

Step 4.1.3

Factor $4 r$ out of $4 r (1) + 4 r (7)$ .

$\frac{4 r (1 + 7)}{7}$

Step 4.2

Add $1$ and $7$ .

$\frac{4 r \cdot 8}{7}$

Step 4.3

Multiply $8$ by $4$ .

$\frac{32 r}{7}$