Basic Math Examples

$(9 k + 9) + \frac{7 k + 7}{6}$

Step 1

Factor $7$ out of $7 k + 7$ .

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Step 1.1

Factor $7$ out of $7 k$ .

$9 k + 9 + \frac{7 (k) + 7}{6}$

Step 1.2

Factor $7$ out of $7$ .

$9 k + 9 + \frac{7 (k) + 7 (1)}{6}$

Step 1.3

Factor $7$ out of $7 (k) + 7 (1)$ .

$9 k + 9 + \frac{7 (k + 1)}{6}$

Step 2

To write $9 k$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$9 k \cdot \frac{6}{6} + \frac{7 (k + 1)}{6} + 9$

Step 3

Simplify terms.

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Step 3.1

Combine $9 k$ and $\frac{6}{6}$ .

$\frac{9 k \cdot 6}{6} + \frac{7 (k + 1)}{6} + 9$

Step 3.2

Combine the numerators over the common denominator.

$\frac{9 k \cdot 6 + 7 (k + 1)}{6} + 9$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $6$ by $9$ .

$\frac{54 k + 7 (k + 1)}{6} + 9$

Step 4.2

Apply the distributive property.

$\frac{54 k + 7 k + 7 \cdot 1}{6} + 9$

Step 4.3

Multiply $7$ by $1$ .

$\frac{54 k + 7 k + 7}{6} + 9$

Step 4.4

Add $54 k$ and $7 k$ .

$\frac{61 k + 7}{6} + 9$

Step 5

To write $9$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{61 k + 7}{6} + 9 \cdot \frac{6}{6}$

Step 6

Simplify terms.

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Step 6.1

Combine $9$ and $\frac{6}{6}$ .

$\frac{61 k + 7}{6} + \frac{9 \cdot 6}{6}$

Step 6.2

Combine the numerators over the common denominator.

$\frac{61 k + 7 + 9 \cdot 6}{6}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $9$ by $6$ .

$\frac{61 k + 7 + 54}{6}$

Step 7.2

Add $7$ and $54$ .

$\frac{61 k + 61}{6}$

Step 7.3

Factor $61$ out of $61 k + 61$ .

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Step 7.3.1

Factor $61$ out of $61 k$ .

$\frac{61 (k) + 61}{6}$

Step 7.3.2

Factor $61$ out of $61$ .

$\frac{61 (k) + 61 (1)}{6}$

Step 7.3.3

Factor $61$ out of $61 (k) + 61 (1)$ .

$\frac{61 (k + 1)}{6}$