Finite Math Examples

$3 \cdot \frac{15}{4} + y = 14$

Step 1

Multiply $3 (\frac{15}{4})$ .

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Step 1.1

Combine $3$ and $\frac{15}{4}$ .

$\frac{3 \cdot 15}{4} + y = 14$

Step 1.2

Multiply $3$ by $15$ .

$\frac{45}{4} + y = 14$

Step 2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.1

Subtract $\frac{45}{4}$ from both sides of the equation.

$y = 14 - \frac{45}{4}$

Step 2.2

To write $14$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = 14 \cdot \frac{4}{4} - \frac{45}{4}$

Step 2.3

Combine $14$ and $\frac{4}{4}$ .

$y = \frac{14 \cdot 4}{4} - \frac{45}{4}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{14 \cdot 4 - 45}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $14$ by $4$ .

$y = \frac{56 - 45}{4}$

Step 2.5.2

Subtract $45$ from $56$ .

$y = \frac{11}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{11}{4}$

Decimal Form:

$y = 2.75$

Mixed Number Form:

$y = 2 \frac{3}{4}$