Basic Math Examples

$y = \frac{1}{3} \cdot (- \frac{51}{4}) + 5$

Step 1

Remove parentheses.

$y = \frac{1}{3} \cdot (- 1 (\frac{51}{4})) + 5$

Step 2

Simplify $\frac{1}{3} \cdot (- 1 (\frac{51}{4})) + 5$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite $- 1 (\frac{51}{4})$ as $- (\frac{51}{4})$ .

$y = \frac{1}{3} \cdot (- (\frac{51}{4})) + 5$

Step 2.1.2

Cancel the common factor of $3$ .

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Step 2.1.2.1

Move the leading negative in $- (\frac{51}{4})$ into the numerator.

$y = \frac{1}{3} \cdot \frac{- 51}{4} + 5$

Step 2.1.2.2

Factor $3$ out of $- 51$ .

$y = \frac{1}{3} \cdot \frac{3 (- 17)}{4} + 5$

Step 2.1.2.3

Cancel the common factor.

$y = \frac{1}{3} \cdot \frac{3 \cdot - 17}{4} + 5$

Step 2.1.2.4

Rewrite the expression.

$y = \frac{- 17}{4} + 5$

Step 2.1.3

Move the negative in front of the fraction.

$y = - \frac{17}{4} + 5$

Step 2.2

To write $5$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = - \frac{17}{4} + 5 \cdot \frac{4}{4}$

Step 2.3

Combine $5$ and $\frac{4}{4}$ .

$y = - \frac{17}{4} + \frac{5 \cdot 4}{4}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{- 17 + 5 \cdot 4}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $5$ by $4$ .

$y = \frac{- 17 + 20}{4}$

Step 2.5.2

Add $- 17$ and $20$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.75$