What is -5/2 (4)+3+(2(4)-3) ?

The solution to -5/2 (4)+3+(2(4)-3) is -2

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-5/2 (4)+3+(2(4)-3)

- \frac{5}{2} (4) + 3 + (2 (4) - 3)

- 2

Solution steps

- \frac{5}{2} (4) + 3 + (2 (4) - 3)

Follow the PEMDAS order of operations

Calculate within parentheses

(2 (4) - 3) : 5

2 (4) - 3

Multiply and divide (left to right)

2 (4) : 8

2 (4)

Apply rule:

(a) = a

(4) = 4

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

= 8 - 3

Add and subtract (left to right)

8 - 3 : 5

8 - 3

8 - 3 = 5

= 5

= 5

= - \frac{5}{2} (4) + 3 + 5

Multiply and divide (left to right)

- \frac{5}{2} (4) : - 10

- \frac{5}{2} (4)

Apply rule:

(a) = a

(4) = 4

= - \frac{5}{2} \cdot 4

- \frac{5}{2} \cdot 4 = - 10

- \frac{5}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{5}{2} \cdot \frac{4}{1}

Apply the fraction rule:

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

\frac{5}{2} \cdot \frac{4}{1} = \frac{5 \cdot 4}{2 \cdot 1}

= - \frac{5 \cdot 4}{2 \cdot 1}

Cancel

\frac{5 \cdot 4}{2 \cdot 1} : 10

\frac{5 \cdot 4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{5 \cdot 4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 5 \cdot 2

Multiply the numbers:

5 \cdot 2 = 10

= 10

= - 10

= - 10

= - 10 + 3 + 5

Add and subtract (left to right)

- 10 + 3 + 5 : - 2

- 10 + 3 + 5

- 10 + 3 = - 7

= - 7 + 5

- 7 + 5 = - 2

= - 2

= - 2

- (- 7 - 3) - 5 (7 + 9)

2 0^{2} + 2 3^{2}

\frac{1}{2} \cdot 9^{2}

1 - \frac{1}{4} + \frac{1}{16} - \frac{1}{64}

\frac{\frac{- 5}{8 \times ( \frac{9}{7 - ( \frac{- 8}{5} )} )}}{( \frac{- 9}{11} )}