Pre-Algebra Examples

$\frac{4}{10} + \frac{3}{100}$

Step 1

Cancel the common factor of $4$ and $10$ .

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Step 1.1

Factor $2$ out of $4$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $10$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

To write $\frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$\frac{2}{5} \cdot \frac{20}{20} + \frac{3}{100}$

Step 3

Write each expression with a common denominator of $100$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{2}{5}$ by $\frac{20}{20}$ .

$\frac{2 \cdot 20}{5 \cdot 20} + \frac{3}{100}$

Step 3.2

Multiply $5$ by $20$ .

$\frac{2 \cdot 20}{100} + \frac{3}{100}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 20 + 3}{100}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $20$ .

$\frac{40 + 3}{100}$

Step 5.2

Add $40$ and $3$ .

$\frac{43}{100}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{43}{100}$

Decimal Form:

$0.43$