Pre-Algebra Examples

$\frac{4}{5} + \frac{7}{10}$

Step 1

To write $\frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4}{5} \cdot \frac{2}{2} + \frac{7}{10}$

Step 2

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{4}{5}$ by $\frac{2}{2}$ .

$\frac{4 \cdot 2}{5 \cdot 2} + \frac{7}{10}$

Step 2.2

Multiply $5$ by $2$ .

$\frac{4 \cdot 2}{10} + \frac{7}{10}$

Step 3

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 7}{10}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $4$ by $2$ .

$\frac{8 + 7}{10}$

Step 4.2

Add $8$ and $7$ .

$\frac{15}{10}$

Step 5

Cancel the common factor of $15$ and $10$ .

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Step 5.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{10}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $5$ out of $10$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{3}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$