Basic Math Examples

\frac{6}{10} + \frac{18}{100}

$\frac{6}{10} + \frac{18}{100}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

6

$6$ and

10

$10$ .

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Step 1.1.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 (3)}{10} + \frac{18}{100}

$\frac{2 (3)}{10} + \frac{18}{100}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 3}{2 \cdot 5} + \frac{18}{100}

$\frac{2 \cdot 3}{2 \cdot 5} + \frac{18}{100}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 3}{2 \cdot 5} + \frac{18}{100}$

Step 1.1.2.3

Rewrite the expression.

$\frac{3}{5} + \frac{18}{100}$

Step 1.2

Cancel the common factor of

$18$ and

$100$ .

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Step 1.2.1

Factor

$2$ out of

$18$ .

$\frac{3}{5} + \frac{2 (9)}{100}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor

$2$ out of

$100$ .

$\frac{3}{5} + \frac{2 \cdot 9}{2 \cdot 50}$

Step 1.2.2.2

Cancel the common factor.

$\frac{3}{5} + \frac{2 \cdot 9}{2 \cdot 50}$

Step 1.2.2.3

Rewrite the expression.

$\frac{3}{5} + \frac{9}{50}$

Step 2

To write

$\frac{3}{5}$ as a fraction with a common denominator, multiply by

$\frac{10}{10}$ .

$\frac{3}{5} \cdot \frac{10}{10} + \frac{9}{50}$

Step 3

Write each expression with a common denominator of

$50$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{3}{5}$ by

$\frac{10}{10}$ .

$\frac{3 \cdot 10}{5 \cdot 10} + \frac{9}{50}$

Step 3.2

Multiply

$5$ by

$10$ .

$\frac{3 \cdot 10}{50} + \frac{9}{50}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 10 + 9}{50}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$10$ .

$\frac{30 + 9}{50}$

Step 5.2

Add

$30$ and

$9$ .

$\frac{39}{50}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{39}{50}$

Decimal Form:

$0.78$