What is -7 4/5+(-1) 4/5 ?

The solution to -7 4/5+(-1) 4/5 is -43/5

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-7 4/5+(-1) 4/5

- 7 \frac{4}{5} + (- 1) \frac{4}{5}

- \frac{43}{5}

Solution steps

- 7 \frac{4}{5} + (- 1) \frac{4}{5}

Convert mixed numbers to improper fractions:

7 \frac{4}{5} = \frac{39}{5}

7 \frac{4}{5}

Convert mixed numbers to improper fraction:

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

7 \frac{4}{5} = \frac{7 \cdot 5 + 4}{5}

= \frac{39}{5}

= - \frac{39}{5} + (- 1) \frac{4}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- 1) \frac{4}{5} : - \frac{4}{5}

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

Apply rule

(- a) \cdot b = - a \cdot b

(- 1) \frac{4}{5} = - 1 \cdot \frac{4}{5} = - \frac{4}{5}

= - \frac{4}{5}

= - \frac{39}{5} - \frac{4}{5}

Add and subtract (left to right)

- \frac{39}{5} - \frac{4}{5} : - \frac{43}{5}

- \frac{39}{5} - \frac{4}{5}

- \frac{39}{5} - \frac{4}{5} = - \frac{43}{5}

- \frac{39}{5} - \frac{4}{5}

Apply rule

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

= \frac{- 39 - 4}{5}

Subtract the numbers:

- 39 - 4 = - 43

= \frac{- 43}{5}

Apply the fraction rule:

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

= - \frac{43}{5}

= - \frac{43}{5}

= - \frac{43}{5}

3^{3} \times 3^{2} - 2^{3} \times 2^{2}

1 (1 + 1)^{2}

2 (1)^{2} - 4 (1) - 1

(4)^{2} - 8 (4)

[15 - (- 3) \cdot 4] \cdot (- 2) - 8 \cdot (- 4) + 1