Basic Math Examples

$\frac{15}{16} \cdot \frac{24}{25} \cdot 1 \frac{1}{9}$

Step 1

Convert $1 \frac{1}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{15}{16} \cdot \frac{24}{25} \cdot (1 + \frac{1}{9})$

Step 1.2

Add $1$ and $\frac{1}{9}$ .

Tap for more steps...

Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{15}{16} \cdot \frac{24}{25} \cdot (\frac{9}{9} + \frac{1}{9})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{15}{16} \cdot \frac{24}{25} \cdot \frac{9 + 1}{9}$

Step 1.2.3

Add $9$ and $1$ .

$\frac{15}{16} \cdot \frac{24}{25} \cdot \frac{10}{9}$

Step 2

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{16} \cdot \frac{24}{25} \cdot \frac{10}{9}$

Step 2.2

Factor $5$ out of $25$ .

$\frac{5 \cdot 3}{16} \cdot \frac{24}{5 \cdot 5} \cdot \frac{10}{9}$

Step 2.3

Cancel the common factor.

$\frac{5 \cdot 3}{16} \cdot \frac{24}{5 \cdot 5} \cdot \frac{10}{9}$

Step 2.4

Rewrite the expression.

$\frac{3}{16} \cdot \frac{24}{5} \cdot \frac{10}{9}$

Step 3

Cancel the common factor of $8$ .

Tap for more steps...

Step 3.1

Factor $8$ out of $16$ .

$\frac{3}{8 (2)} \cdot \frac{24}{5} \cdot \frac{10}{9}$

Step 3.2

Factor $8$ out of $24$ .

$\frac{3}{8 \cdot 2} \cdot \frac{8 \cdot 3}{5} \cdot \frac{10}{9}$

Step 3.3

Cancel the common factor.

$\frac{3}{8 \cdot 2} \cdot \frac{8 \cdot 3}{5} \cdot \frac{10}{9}$

Step 3.4

Rewrite the expression.

$\frac{3}{2} \cdot \frac{3}{5} \cdot \frac{10}{9}$

Step 4

Multiply $\frac{3}{2}$ by $\frac{3}{5}$ .

$\frac{3 \cdot 3}{2 \cdot 5} \cdot \frac{10}{9}$

Step 5

Multiply.

Tap for more steps...

Step 5.1

Multiply $3$ by $3$ .

$\frac{9}{2 \cdot 5} \cdot \frac{10}{9}$

Step 5.2

Multiply $2$ by $5$ .

$\frac{9}{10} \cdot \frac{10}{9}$

Step 6

Cancel the common factor of $9$ .

Tap for more steps...

Step 6.1

Cancel the common factor.

$\frac{9}{10} \cdot \frac{10}{9}$

Step 6.2

Rewrite the expression.

$\frac{1}{10} \cdot 10$

Step 7

Cancel the common factor of $10$ .

Tap for more steps...

Step 7.1

Cancel the common factor.

$\frac{1}{10} \cdot 10$

Step 7.2

Rewrite the expression.

$1$