What is (5 2/3-2/9)\times 3 ?

The solution to (5 2/3-2/9)\times 3 is 16 1/3

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(5 2/3-2/9)\times 3

(5 \frac{2}{3} - \frac{2}{9}) \cdot 3

16 \frac{1}{3}

Solution steps

(5 \frac{2}{3} - \frac{2}{9}) \cdot 3

Convert mixed numbers to improper fractions:

5 \frac{2}{3} = \frac{17}{3}

= (\frac{17}{3} - \frac{2}{9}) \cdot 3

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{17}{3} - \frac{2}{9}) : \frac{49}{9}

= \frac{49}{9} \cdot 3

Multiply and divide (left to right)

\frac{49}{9} \cdot 3 : \frac{49}{3}

= \frac{49}{3}

Convert improper fractions to mixed numbers:

\frac{49}{3} = 16 \frac{1}{3}

= 16 \frac{1}{3}

(\frac{5}{22}) (\frac{3}{5} + \frac{1}{2})

4 \div 6 + 3 \div 12

2 - 3 (8)

5 (- 9)^{2}

- 3 \cdot (- 2)^{2}