What is -1/4 (5)^2+5 ?

The solution to -1/4 (5)^2+5 is -5/4

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-1/4 (5)^2+5

- \frac{1}{4} (5)^{2} + 5

- \frac{5}{4}

Solution steps

- \frac{1}{4} (5)^{2} + 5

Follow the PEMDAS order of operations

Calculate exponents

(5)^{2} : 25

(5)^{2}

(5)^{2} = 25

= 25

= - \frac{1}{4} \cdot 25 + 5

Multiply and divide (left to right)

- \frac{1}{4} \cdot 25 : - \frac{25}{4}

- \frac{1}{4} \cdot 25

Convert element to fraction:

25 = \frac{25}{1}

= - \frac{1}{4} \cdot \frac{25}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{1}{4} \cdot \frac{25}{1} = \frac{1 \cdot 25}{4 \cdot 1}

= - \frac{1 \cdot 25}{4 \cdot 1}

Multiply the numbers:

1 \cdot 25 = 25

= - \frac{25}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= - \frac{25}{4}

= - \frac{25}{4} + 5

Add and subtract (left to right)

- \frac{25}{4} + 5 : - \frac{5}{4}

- \frac{25}{4} + 5

- \frac{25}{4} + 5 = - \frac{5}{4}

- \frac{25}{4} + 5

Convert element to fraction:

5 = \frac{5 \cdot 4}{4}

= \frac{5 \cdot 4}{4} - \frac{25}{4}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 \cdot 4 - 25}{4}

5 \cdot 4 - 25 = - 5

5 \cdot 4 - 25

Multiply the numbers:

5 \cdot 4 = 20

= 20 - 25

Subtract the numbers:

20 - 25 = - 5

= - 5

= \frac{- 5}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5}{4}

= - \frac{5}{4}

= - \frac{5}{4}

7 + 6 - 9 (- 2) + (- 3)

- 2^{5} - 40

4^{2} - 5 \times 3 + 6 \div 3 + 2

3 \times 3 + 2

(- 2)^{5} - 10