What is 49/2-21-(9/2-9) ?

The solution to 49/2-21-(9/2-9) is 8

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49/2-21-(9/2-9)

\frac{49}{2} - 21 - (\frac{9}{2} - 9)

8

Solution steps

\frac{49}{2} - 21 - (\frac{9}{2} - 9)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{9}{2} - 9) : - \frac{9}{2}

\frac{9}{2} - 9

\frac{9}{2} - 9 = - \frac{9}{2}

\frac{9}{2} - 9

Convert element to fraction:

9 = \frac{9 \cdot 2}{2}

= - \frac{9 \cdot 2}{2} + \frac{9}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 9 \cdot 2 + 9}{2}

- 9 \cdot 2 + 9 = - 9

- 9 \cdot 2 + 9

Multiply the numbers:

9 \cdot 2 = 18

= - 18 + 9

Add/Subtract the numbers:

- 18 + 9 = - 9

= - 9

= \frac{- 9}{2}

Apply the fraction rule:

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

= - \frac{9}{2}

= - \frac{9}{2}

= \frac{49}{2} - 21 - (- \frac{9}{2})

Add and subtract (left to right)

\frac{49}{2} - 21 - (- \frac{9}{2}) : 8

\frac{49}{2} - 21 - (- \frac{9}{2})

\frac{49}{2} - 21 = \frac{7}{2}

\frac{49}{2} - 21

Convert element to fraction:

21 = \frac{21 \cdot 2}{2}

= - \frac{21 \cdot 2}{2} + \frac{49}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 21 \cdot 2 + 49}{2}

- 21 \cdot 2 + 49 = 7

- 21 \cdot 2 + 49

Multiply the numbers:

21 \cdot 2 = 42

= - 42 + 49

Add/Subtract the numbers:

- 42 + 49 = 7

= 7

= \frac{7}{2}

= \frac{7}{2} - (- \frac{9}{2})

Apply rule

- (- a) = + a

- (- \frac{9}{2}) = + \frac{9}{2}

= \frac{7}{2} + \frac{9}{2}

\frac{7}{2} + \frac{9}{2} = 8

\frac{7}{2} + \frac{9}{2}

Apply rule

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

= \frac{7 + 9}{2}

Add the numbers:

7 + 9 = 16

= \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8

= 8

= 8

56 \cdot 9 \div 14 \cdot \frac{1}{3}

3^{2} + 21 \div 3

5^{2} + 2 (5) - 4

16 \div 12 \cdot 8

(5 - 2)^{4}