Basic Math Examples

$(\frac{1}{4} + \frac{3}{8}) \cdot \frac{7}{12}$

Step 1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{1}{4} \cdot \frac{2}{2} + \frac{3}{8}) \cdot \frac{7}{12}$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$(\frac{2}{4 \cdot 2} + \frac{3}{8}) \cdot \frac{7}{12}$

Step 2.2

Multiply $4$ by $2$ .

$(\frac{2}{8} + \frac{3}{8}) \cdot \frac{7}{12}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 + 3}{8} \cdot \frac{7}{12}$

Step 4

Add $2$ and $3$ .

$\frac{5}{8} \cdot \frac{7}{12}$

Step 5

Multiply $\frac{5}{8} \cdot \frac{7}{12}$ .

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Step 5.1

Multiply $\frac{5}{8}$ by $\frac{7}{12}$ .

$\frac{5 \cdot 7}{8 \cdot 12}$

Step 5.2

Multiply $5$ by $7$ .

$\frac{35}{8 \cdot 12}$

Step 5.3

Multiply $8$ by $12$ .

$\frac{35}{96}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{96}$

Decimal Form:

$0.36458\overline{3}$