Evaluate 9/11-4/9 | Math Help

$\frac{9}{11} - \frac{4}{9}$

To write $\frac{9}{11}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{9}{11} \cdot \frac{9}{9} - \frac{4}{9}$

To write $- \frac{4}{9}$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$\frac{9}{11} \cdot \frac{9}{9} - \frac{4}{9} \cdot \frac{11}{11}$

Write each expression with a common denominator of $99$ , by multiplying each by an appropriate factor of $1$ .

Expand detailed answer...

Multiply $\frac{9}{11}$ and $\frac{9}{9}$ .

$\frac{9 \cdot 9}{11 \cdot 9} - \frac{4}{9} \cdot \frac{11}{11}$

Multiply $11$ by $9$ .

$\frac{9 \cdot 9}{99} - \frac{4}{9} \cdot \frac{11}{11}$

Multiply $\frac{4}{9}$ and $\frac{11}{11}$ .

$\frac{9 \cdot 9}{99} - \frac{4 \cdot 11}{9 \cdot 11}$

Multiply $9$ by $11$ .

$\frac{9 \cdot 9}{99} - \frac{4 \cdot 11}{99}$

Combine the numerators over the common denominator.

$\frac{9 \cdot 9 - 4 \cdot 11}{99}$

Simplify the numerator.

Expand detailed answer...

Multiply $9$ by $9$ .

$\frac{81 - 4 \cdot 11}{99}$

Multiply $- 4$ by $11$ .

$\frac{81 - 44}{99}$

Subtract $44$ from $81$ .

$\frac{37}{99}$

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{99}$

Decimal Form:

$0.\overline{37}$