Basic Math Examples

$\frac{9}{50} + \frac{7}{10}$

Step 1

To write $\frac{7}{10}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{9}{50} + \frac{7}{10} \cdot \frac{5}{5}$

Step 2

Write each expression with a common denominator of $50$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{7}{10}$ by $\frac{5}{5}$ .

$\frac{9}{50} + \frac{7 \cdot 5}{10 \cdot 5}$

Step 2.2

Multiply $10$ by $5$ .

$\frac{9}{50} + \frac{7 \cdot 5}{50}$

Step 3

Combine the numerators over the common denominator.

$\frac{9 + 7 \cdot 5}{50}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $7$ by $5$ .

$\frac{9 + 35}{50}$

Step 4.2

Add $9$ and $35$ .

$\frac{44}{50}$

Step 5

Cancel the common factor of $44$ and $50$ .

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Step 5.1

Factor $2$ out of $44$ .

$\frac{2 (22)}{50}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $50$ .

$\frac{2 \cdot 22}{2 \cdot 25}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 22}{2 \cdot 25}$

Step 5.2.3

Rewrite the expression.

$\frac{22}{25}$