Basic Math Examples

$\frac{9}{10} + \frac{24}{100} + \frac{169}{1000}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Multiply $\frac{9}{10}$ by $\frac{100}{100}$ .

$\frac{9}{10} \cdot \frac{100}{100} + \frac{24}{100} + \frac{169}{1000}$

Step 1.2

Multiply $\frac{9}{10}$ by $\frac{100}{100}$ .

$\frac{9 \cdot 100}{10 \cdot 100} + \frac{24}{100} + \frac{169}{1000}$

Step 1.3

Multiply $\frac{24}{100}$ by $\frac{10}{10}$ .

$\frac{9 \cdot 100}{10 \cdot 100} + \frac{24}{100} \cdot \frac{10}{10} + \frac{169}{1000}$

Step 1.4

Multiply $\frac{24}{100}$ by $\frac{10}{10}$ .

$\frac{9 \cdot 100}{10 \cdot 100} + \frac{24 \cdot 10}{100 \cdot 10} + \frac{169}{1000}$

Step 1.5

Multiply $10$ by $100$ .

$\frac{9 \cdot 100}{1000} + \frac{24 \cdot 10}{100 \cdot 10} + \frac{169}{1000}$

Step 1.6

Reorder the factors of $100 \cdot 10$ .

$\frac{9 \cdot 100}{1000} + \frac{24 \cdot 10}{10 \cdot 100} + \frac{169}{1000}$

Step 1.7

Multiply $10$ by $100$ .

$\frac{9 \cdot 100}{1000} + \frac{24 \cdot 10}{1000} + \frac{169}{1000}$

Step 2

Combine the numerators over the common denominator.

$\frac{9 \cdot 100 + 24 \cdot 10 + 169}{1000}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $9$ by $100$ .

$\frac{900 + 24 \cdot 10 + 169}{1000}$

Step 3.2

Multiply $24$ by $10$ .

$\frac{900 + 240 + 169}{1000}$

Step 4

Simplify by adding numbers.

Tap for more steps...

Step 4.1

Add $900$ and $240$ .

$\frac{1140 + 169}{1000}$

Step 4.2

Add $1140$ and $169$ .

$\frac{1309}{1000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1309}{1000}$

Decimal Form:

$1.309$

Mixed Number Form:

$1 \frac{309}{1000}$