What is (2-1/3)\times 3 ?

The solution to (2-1/3)\times 3 is 5

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(2-1/3)\times 3

(2 - \frac{1}{3}) \cdot 3

5

Solution steps

(2 - \frac{1}{3}) \cdot 3

Follow the PEMDAS order of operations

Calculate within parentheses

(2 - \frac{1}{3}) : \frac{5}{3}

2 - \frac{1}{3}

2 - \frac{1}{3} = \frac{5}{3}

2 - \frac{1}{3}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

2 \cdot 3 - 1 = 5

2 \cdot 3 - 1

Multiply the numbers:

2 \cdot 3 = 6

= 6 - 1

Subtract the numbers:

6 - 1 = 5

= 5

= \frac{5}{3}

= \frac{5}{3}

= \frac{5}{3} \cdot 3

Multiply and divide (left to right)

\frac{5}{3} \cdot 3 : 5

\frac{5}{3} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{5}{3} \cdot \frac{3}{1}

Cross-cancel common factor:

3

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

= 5

- 3 - 8 - 4 + 11 - 3 - 2

4 (1)^{2} - 1 - 5

2 \times 0 - 3

\frac{( - 5 ) - 7}{( - 5 ) ^{2} + 10 ( - 5 ) + 16}

8 \div 4 \times 10 - 2 + 20