Pre-Algebra Examples

$\frac{1 (y - \frac{11}{4})}{3}$

Step 1

Multiply $y - \frac{11}{4}$ by $1$ .

$\frac{y - \frac{11}{4}}{3}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{y \cdot \frac{4}{4} - \frac{11}{4}}{3}$

Step 2.2

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

$\frac{\frac{y \cdot 4}{4} - \frac{11}{4}}{3}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{y \cdot 4 - 11}{4}}{3}$

Step 2.4

Move $4$ to the left of $y$ .

$\frac{\frac{4 y - 11}{4}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{4 y - 11}{4} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{4 y - 11}{4} \cdot \frac{1}{3}$ .

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Step 4.1

Multiply $\frac{4 y - 11}{4}$ by $\frac{1}{3}$ .

$\frac{4 y - 11}{4 \cdot 3}$

Step 4.2

Multiply $4$ by $3$ .

$\frac{4 y - 11}{12}$

Step 5

Split the fraction $\frac{4 y - 11}{12}$ into two fractions.

$\frac{4 y}{12} + \frac{- 11}{12}$

Step 6

Cancel the common factor of $4$ and $12$ .

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Step 6.1

Factor $4$ out of $4 y$ .

$\frac{4 (y)}{12} + \frac{- 11}{12}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $4$ out of $12$ .

$\frac{4 y}{4 \cdot 3} + \frac{- 11}{12}$

Step 6.2.2

Cancel the common factor.

$\frac{4 y}{4 \cdot 3} + \frac{- 11}{12}$

Step 6.2.3

Rewrite the expression.

$\frac{y}{3} + \frac{- 11}{12}$

Step 7

Move the negative in front of the fraction.

$\frac{y}{3} - \frac{11}{12}$