What is 2(-3)+7(1/7) ?

The solution to 2(-3)+7(1/7) is -5

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2(-3)+7(1/7)

2 (- 3) + 7 (\frac{1}{7})

- 5

Solution steps

2 (- 3) + 7 (\frac{1}{7})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 (- 3) : - 6

2 (- 3)

Apply rule

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

2 (- 3) = - 2 \cdot 3 = - 6

= - 6

= - 6 + 7 (\frac{1}{7})

Multiply and divide (left to right)

7 (\frac{1}{7}) : 1

7 (\frac{1}{7})

Apply rule:

(a) = a

(\frac{1}{7}) = \frac{1}{7}

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

Convert element to fraction:

7 = \frac{7}{1}

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

Cross-cancel common factor:

7

= 1

= - 6 + 1

Add and subtract (left to right)

- 6 + 1 : - 5

- 6 + 1

- 6 + 1 = - 5

= - 5

= - 5

- 2 \cdot 1 + 2

(+ 11) + (- 10) + (+ 4) + (+ 5)

1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8}

12 (1)^{2}

3^{2} - 4^{2}