What is 4 2/3-4*2/3 ?

The solution to 4 2/3-4*2/3 is 2

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4 2/3-4*2/3

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

2

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{2}{3} = \frac{14}{3}

4 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{14}{3}

= \frac{14}{3} - 4 \cdot \frac{2}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

4 \cdot \frac{2}{3}

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

4 \cdot 2 = 8

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{8}{3}

= \frac{14}{3} - \frac{8}{3}

Add and subtract (left to right)

\frac{14}{3} - \frac{8}{3} : 2

\frac{14}{3} - \frac{8}{3}

\frac{14}{3} - \frac{8}{3} = 2

\frac{14}{3} - \frac{8}{3}

Apply rule

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

= \frac{14 - 8}{3}

Subtract the numbers:

14 - 8 = 6

= \frac{6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2

= 2

= 2

- 2^{2} + 8

- 2 (5) + 1

(4 - 5) (2 + 7)

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

(5 - 4)^{2}