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

The solution to -7 4/5+(-1) 1/5 is -8

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

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

- 8

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

= - \frac{1}{5}

= - \frac{39}{5} - \frac{1}{5}

Add and subtract (left to right)

- \frac{39}{5} - \frac{1}{5} : - 8

- \frac{39}{5} - \frac{1}{5}

- \frac{39}{5} - \frac{1}{5} = - 8

- \frac{39}{5} - \frac{1}{5}

Apply rule

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

= \frac{- 39 - 1}{5}

Subtract the numbers:

- 39 - 1 = - 40

= \frac{- 40}{5}

Apply the fraction rule:

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

= - \frac{40}{5}

Divide the numbers:

\frac{40}{5} = 8

= - 8

= - 8

= - 8

\frac{1}{2} + 2 - \frac{9}{10}

- 3^{2} - (- 3)^{2}

2^{2} \times (- 9 + 4)

(1 4^{2} \times 15) - (2^{2} + 20)

3^{2} - (- 2^{2})