Basic Math Examples

$(\frac{1}{9}) \cdot 4.5 + (\frac{1}{16}) \cdot 4.8$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $4.5$ .

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Step 1.1.1

Factor $4.5$ out of $9$ .

$\frac{1}{4.5 (2)} \cdot 4.5 + (\frac{1}{16}) \cdot 4.8$

Step 1.1.2

Cancel the common factor.

$\frac{1}{4.5 \cdot 2} \cdot 4.5 + (\frac{1}{16}) \cdot 4.8$

Step 1.1.3

Rewrite the expression.

$\frac{1}{2} + (\frac{1}{16}) \cdot 4.8$

Step 1.2

Combine $\frac{1}{16}$ and $4.8$ .

$\frac{1}{2} + \frac{4.8}{16}$

Step 1.3

Divide $4.8$ by $16$ .

$\frac{1}{2} + 0.3$

Step 2

To write $0.3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 0.3 \cdot \frac{2}{2}$

Step 3

Combine fractions.

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Step 3.1

Combine $0.3$ and $\frac{2}{2}$ .

$\frac{1}{2} + \frac{0.3 \cdot 2}{2}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{1 + 0.3 \cdot 2}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $0.3$ by $2$ .

$\frac{1 + 0.6}{2}$

Step 4.2

Add $1$ and $0.6$ .

$\frac{1.6}{2}$

Step 5

Divide $1.6$ by $2$ .

$0.8$