What is -3 2/7+(-5) 6/7 ?

The solution to -3 2/7+(-5) 6/7 is -53/7

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-3 2/7+(-5) 6/7

- 3 \frac{2}{7} + (- 5) \frac{6}{7}

- \frac{53}{7}

Solution steps

- 3 \frac{2}{7} + (- 5) \frac{6}{7}

Convert mixed numbers to improper fractions:

3 \frac{2}{7} = \frac{23}{7}

3 \frac{2}{7}

Convert mixed numbers to improper fraction:

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

3 \frac{2}{7} = \frac{3 \cdot 7 + 2}{7}

= \frac{23}{7}

= - \frac{23}{7} + (- 5) \frac{6}{7}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- 5) \frac{6}{7} : - \frac{30}{7}

(- 5) \frac{6}{7}

Apply rule

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

(- 5) \frac{6}{7} = - 5 \cdot \frac{6}{7}

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{5}{1} \cdot \frac{6}{7}

Apply the fraction rule:

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

\frac{5}{1} \cdot \frac{6}{7} = \frac{5 \cdot 6}{1 \cdot 7}

= - \frac{5 \cdot 6}{1 \cdot 7}

Multiply the numbers:

5 \cdot 6 = 30

= - \frac{30}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= - \frac{30}{7}

= - \frac{23}{7} - \frac{30}{7}

Add and subtract (left to right)

- \frac{23}{7} - \frac{30}{7} : - \frac{53}{7}

- \frac{23}{7} - \frac{30}{7}

- \frac{23}{7} - \frac{30}{7} = - \frac{53}{7}

- \frac{23}{7} - \frac{30}{7}

Apply rule

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

= \frac{- 23 - 30}{7}

Subtract the numbers:

- 23 - 30 = - 53

= \frac{- 53}{7}

Apply the fraction rule:

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

= - \frac{53}{7}

= - \frac{53}{7}

= - \frac{53}{7}

2/5 \cdot 2/5

4 \times 4^{2}

3 + (- 2) - (- 5) - (3 - 14)

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

- 5 + (- 7 - 3)