Pre-Algebra Examples

$f (x) = 16 + \frac{3600}{28}$

Step 1

Rewrite the function as an equation.

$y = 16 + \frac{3600}{28}$

Step 2

Simplify $16 + \frac{3600}{28}$ .

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Step 2.1

Cancel the common factor of $3600$ and $28$ .

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Step 2.1.1

Factor $4$ out of $3600$ .

$y = 16 + \frac{4 (900)}{28}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $4$ out of $28$ .

$y = 16 + \frac{4 \cdot 900}{4 \cdot 7}$

Step 2.1.2.2

Cancel the common factor.

$y = 16 + \frac{4 \cdot 900}{4 \cdot 7}$

Step 2.1.2.3

Rewrite the expression.

$y = 16 + \frac{900}{7}$

Step 2.2

To write $16$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$y = 16 \cdot \frac{7}{7} + \frac{900}{7}$

Step 2.3

Combine $16$ and $\frac{7}{7}$ .

$y = \frac{16 \cdot 7}{7} + \frac{900}{7}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{16 \cdot 7 + 900}{7}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $16$ by $7$ .

$y = \frac{112 + 900}{7}$

Step 2.5.2

Add $112$ and $900$ .

$y = \frac{1012}{7}$