Basic Math Examples

$\frac{5}{14} + \frac{9}{10}$

Step 1

To write $\frac{5}{14}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{5}{14} \cdot \frac{5}{5} + \frac{9}{10}$

Step 2

To write $\frac{9}{10}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{5}{14} \cdot \frac{5}{5} + \frac{9}{10} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of $70$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{5}{14}$ by $\frac{5}{5}$ .

$\frac{5 \cdot 5}{14 \cdot 5} + \frac{9}{10} \cdot \frac{7}{7}$

Step 3.2

Multiply $14$ by $5$ .

$\frac{5 \cdot 5}{70} + \frac{9}{10} \cdot \frac{7}{7}$

Step 3.3

Multiply $\frac{9}{10}$ by $\frac{7}{7}$ .

$\frac{5 \cdot 5}{70} + \frac{9 \cdot 7}{10 \cdot 7}$

Step 3.4

Multiply $10$ by $7$ .

$\frac{5 \cdot 5}{70} + \frac{9 \cdot 7}{70}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 + 9 \cdot 7}{70}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $5$ by $5$ .

$\frac{25 + 9 \cdot 7}{70}$

Step 5.2

Multiply $9$ by $7$ .

$\frac{25 + 63}{70}$

Step 5.3

Add $25$ and $63$ .

$\frac{88}{70}$

Step 6

Cancel the common factor of $88$ and $70$ .

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Step 6.1

Factor $2$ out of $88$ .

$\frac{2 (44)}{70}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $70$ .

$\frac{2 \cdot 44}{2 \cdot 35}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 44}{2 \cdot 35}$

Step 6.2.3

Rewrite the expression.

$\frac{44}{35}$