The solution to -4/3*2+1 is -5/3

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-4/3*2+1

Solution

- \frac{4}{3} \cdot 2 + 1

- \frac{5}{3}

Solution steps

- \frac{4}{3} \cdot 2 + 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{4}{3} \cdot 2 : - \frac{8}{3}

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

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{4}{3} \cdot \frac{2}{1}

Apply the fraction rule:

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

\frac{4}{3} \cdot \frac{2}{1} = \frac{4 \cdot 2}{3 \cdot 1}

= - \frac{4 \cdot 2}{3 \cdot 1}

Multiply the numbers:

4 \cdot 2 = 8

= - \frac{8}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{8}{3}

= - \frac{8}{3} + 1

Add and subtract (left to right)

- \frac{8}{3} + 1 : - \frac{5}{3}

- \frac{8}{3} + 1

- \frac{8}{3} + 1 = - \frac{5}{3}

- \frac{8}{3} + 1

Convert element to fraction:

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

= \frac{1 \cdot 3}{3} - \frac{8}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 3 - 8}{3}

1 \cdot 3 - 8 = - 5

1 \cdot 3 - 8

Multiply the numbers:

1 \cdot 3 = 3

= 3 - 8

Subtract the numbers:

3 - 8 = - 5

= - 5

= \frac{- 5}{3}

Apply the fraction rule:

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

= - \frac{5}{3}

= - \frac{5}{3}

= - \frac{5}{3}

2^{3} + 6 \cdot 4 - 3

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

3 (- 4)^{2} + 6 (- 4) - 9

5 + 2 \cdot 3

- 3 + 4 + 8 + 3 + 9 - 5 + 2 - 8 - 5 - 1 + 7