What is 4-(5/9+44/9) ?

The solution to 4-(5/9+44/9) is -13/9

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4-(5/9+44/9)

4 - (\frac{5}{9} + \frac{44}{9})

- \frac{13}{9}

Solution steps

4 - (\frac{5}{9} + \frac{44}{9})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{5}{9} + \frac{44}{9}) : \frac{49}{9}

\frac{5}{9} + \frac{44}{9}

\frac{5}{9} + \frac{44}{9} = \frac{49}{9}

\frac{5}{9} + \frac{44}{9}

Apply rule

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

= \frac{5 + 44}{9}

Add the numbers:

5 + 44 = 49

= \frac{49}{9}

= \frac{49}{9}

= 4 - \frac{49}{9}

Add and subtract (left to right)

4 - \frac{49}{9} : - \frac{13}{9}

4 - \frac{49}{9}

4 - \frac{49}{9} = - \frac{13}{9}

4 - \frac{49}{9}

Convert element to fraction:

4 = \frac{4 \cdot 9}{9}

= \frac{4 \cdot 9}{9} - \frac{49}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 9 - 49}{9}

4 \cdot 9 - 49 = - 13

4 \cdot 9 - 49

Multiply the numbers:

4 \cdot 9 = 36

= 36 - 49

Subtract the numbers:

36 - 49 = - 13

= - 13

= \frac{- 13}{9}

Apply the fraction rule:

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

= - \frac{13}{9}

= - \frac{13}{9}

= - \frac{13}{9}

(10 - 3) (10 - 8)

+ 20 - 5 (2 - 3) + 3 \times (- 7)

18 + \frac{1}{2} (3^{3} - (- 5))

2^{2} + 7

4 (8) + 3