Basic Math Examples

$(4 - \frac{2}{8}) + y$

Step 1

Cancel the common factor of $2$ and $8$ .

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Step 1.1

Factor $2$ out of $2$ .

$4 - \frac{2 (1)}{8} + y$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $8$ .

$4 - \frac{2 \cdot 1}{2 \cdot 4} + y$

Step 1.2.2

Cancel the common factor.

$4 - \frac{2 \cdot 1}{2 \cdot 4} + y$

Step 1.2.3

Rewrite the expression.

$4 - \frac{1}{4} + y$

Step 2

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

$4 \cdot \frac{4}{4} - \frac{1}{4} + y$

Step 3

Combine $4$ and $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} - \frac{1}{4} + y$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 - 1}{4} + y$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $4$ .

$\frac{16 - 1}{4} + y$

Step 5.2

Subtract $1$ from $16$ .

$\frac{15}{4} + y$