Algebra Examples

$\frac{5}{6} \cdot \frac{1}{4} + \frac{3}{8}$

Step 1

Multiply $\frac{5}{6} \cdot \frac{1}{4}$ .

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Step 1.1

Multiply $\frac{5}{6}$ by $\frac{1}{4}$ .

$\frac{5}{6 \cdot 4} + \frac{3}{8}$

Step 1.2

Multiply $6$ by $4$ .

$\frac{5}{24} + \frac{3}{8}$

Step 2

To write $\frac{3}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{24} + \frac{3}{8} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{3}{8}$ by $\frac{3}{3}$ .

$\frac{5}{24} + \frac{3 \cdot 3}{8 \cdot 3}$

Step 3.2

Multiply $8$ by $3$ .

$\frac{5}{24} + \frac{3 \cdot 3}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 3 \cdot 3}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $3$ .

$\frac{5 + 9}{24}$

Step 5.2

Add $5$ and $9$ .

$\frac{14}{24}$

Step 6

Cancel the common factor of $14$ and $24$ .

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Step 6.1

Factor $2$ out of $14$ .

$\frac{2 (7)}{24}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $24$ .

$\frac{2 \cdot 7}{2 \cdot 12}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 12}$

Step 6.2.3

Rewrite the expression.

$\frac{7}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$