Algebra Examples

$\frac{5}{6} a + \frac{3}{10} a + \frac{1}{6} a + \frac{7}{10} a$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{5}{6}$ and $a$ .

$\frac{5 a}{6} + \frac{3}{10} a + \frac{1}{6} a + \frac{7}{10} a$

Step 1.2

Combine $\frac{3}{10}$ and $a$ .

$\frac{5 a}{6} + \frac{3 a}{10} + \frac{1}{6} a + \frac{7}{10} a$

Step 1.3

Combine $\frac{1}{6}$ and $a$ .

$\frac{5 a}{6} + \frac{3 a}{10} + \frac{a}{6} + \frac{7}{10} a$

Step 1.4

Combine $\frac{7}{10}$ and $a$ .

$\frac{5 a}{6} + \frac{3 a}{10} + \frac{a}{6} + \frac{7 a}{10}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{5 a + a}{6} + \frac{3 a + 7 a}{10}$

Step 2.2

Add $5 a$ and $a$ .

$\frac{6 a}{6} + \frac{3 a + 7 a}{10}$

Step 2.3

Add $3 a$ and $7 a$ .

$\frac{6 a}{6} + \frac{10 a}{10}$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $6$ .

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Step 3.1.1

Cancel the common factor.

$\frac{6 a}{6} + \frac{10 a}{10}$

Step 3.1.2

Divide $a$ by $1$ .

$a + \frac{10 a}{10}$

Step 3.2

Cancel the common factor of $10$ .

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Step 3.2.1

Cancel the common factor.

$a + \frac{10 a}{10}$

Step 3.2.2

Divide $a$ by $1$ .

$a + a$

Step 4

Add $a$ and $a$ .

$2 a$