The solution to -2/3 (6)+1 is -3

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-2/3 (6)+1

Solution

- \frac{2}{3} (6) + 1

- 3

Solution steps

- \frac{2}{3} (6) + 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{2}{3} (6) : - 4

- \frac{2}{3} (6)

Apply rule:

(a) = a

(6) = 6

= - \frac{2}{3} \cdot 6

- \frac{2}{3} \cdot 6 = - 4

- \frac{2}{3} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{2}{3} \cdot \frac{6}{1}

Apply the fraction rule:

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

\frac{2}{3} \cdot \frac{6}{1} = \frac{2 \cdot 6}{3 \cdot 1}

= - \frac{2 \cdot 6}{3 \cdot 1}

Cancel

\frac{2 \cdot 6}{3 \cdot 1} : 4

\frac{2 \cdot 6}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2 \cdot 6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= - 4

= - 4

= - 4 + 1

Add and subtract (left to right)

- 4 + 1 : - 3

- 4 + 1

- 4 + 1 = - 3

= - 3

= - 3

- 7 \times (- 254) - (27 + 7) - 3

- 1 (- 4) - 8 (- 4) + 12

\frac{50000}{3 ( 1 ) + 10}

6 \times 8 - 30 \div 6 + 5

3 \times (2 + 4^{3}) \div 4