Basic Math Examples

$(\frac{7}{6} - \frac{2}{9}) (\frac{1}{5} + \frac{1}{4})$

Step 1

To write $\frac{7}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{7}{6} \cdot \frac{3}{3} - \frac{2}{9}) (\frac{1}{5} + \frac{1}{4})$

Step 2

To write $- \frac{2}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{7}{6} \cdot \frac{3}{3} - \frac{2}{9} \cdot \frac{2}{2}) (\frac{1}{5} + \frac{1}{4})$

Step 3

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{7}{6}$ by $\frac{3}{3}$ .

$(\frac{7 \cdot 3}{6 \cdot 3} - \frac{2}{9} \cdot \frac{2}{2}) (\frac{1}{5} + \frac{1}{4})$

Step 3.2

Multiply $6$ by $3$ .

$(\frac{7 \cdot 3}{18} - \frac{2}{9} \cdot \frac{2}{2}) (\frac{1}{5} + \frac{1}{4})$

Step 3.3

Multiply $\frac{2}{9}$ by $\frac{2}{2}$ .

$(\frac{7 \cdot 3}{18} - \frac{2 \cdot 2}{9 \cdot 2}) (\frac{1}{5} + \frac{1}{4})$

Step 3.4

Multiply $9$ by $2$ .

$(\frac{7 \cdot 3}{18} - \frac{2 \cdot 2}{18}) (\frac{1}{5} + \frac{1}{4})$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 2 \cdot 2}{18} (\frac{1}{5} + \frac{1}{4})$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $7$ by $3$ .

$\frac{21 - 2 \cdot 2}{18} (\frac{1}{5} + \frac{1}{4})$

Step 5.2

Multiply $- 2$ by $2$ .

$\frac{21 - 4}{18} (\frac{1}{5} + \frac{1}{4})$

Step 5.3

Subtract $4$ from $21$ .

$\frac{17}{18} (\frac{1}{5} + \frac{1}{4})$

Step 6

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{17}{18} (\frac{1}{5} \cdot \frac{4}{4} + \frac{1}{4})$

Step 7

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{17}{18} (\frac{1}{5} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{5}{5})$

Step 8

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 8.1

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

$\frac{17}{18} (\frac{4}{5 \cdot 4} + \frac{1}{4} \cdot \frac{5}{5})$

Step 8.2

Multiply $5$ by $4$ .

$\frac{17}{18} (\frac{4}{20} + \frac{1}{4} \cdot \frac{5}{5})$

Step 8.3

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

$\frac{17}{18} (\frac{4}{20} + \frac{5}{4 \cdot 5})$

Step 8.4

Multiply $4$ by $5$ .

$\frac{17}{18} (\frac{4}{20} + \frac{5}{20})$

Step 9

Simplify the expression.

Tap for more steps...

Step 9.1

Combine the numerators over the common denominator.

$\frac{17}{18} \cdot \frac{4 + 5}{20}$

Step 9.2

Add $4$ and $5$ .

$\frac{17}{18} \cdot \frac{9}{20}$

Step 10

Cancel the common factor of $9$ .

Tap for more steps...

Step 10.1

Factor $9$ out of $18$ .

$\frac{17}{9 (2)} \cdot \frac{9}{20}$

Step 10.2

Cancel the common factor.

$\frac{17}{9 \cdot 2} \cdot \frac{9}{20}$

Step 10.3

Rewrite the expression.

$\frac{17}{2} \cdot \frac{1}{20}$

Step 11

Multiply $\frac{17}{2}$ by $\frac{1}{20}$ .

$\frac{17}{2 \cdot 20}$

Step 12

Multiply $2$ by $20$ .

$\frac{17}{40}$

Step 13

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{40}$

Decimal Form:

$0.425$