What is 2\div 3 3/5+2 2/3 ?

The solution to 2\div 3 3/5+2 2/3 is 3 2/9

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2\div 3 3/5+2 2/3

2 \div 3 \frac{3}{5} + 2 \frac{2}{3}

3 \frac{2}{9}

Solution steps

2 \div 3 \frac{3}{5} + 2 \frac{2}{3}

Convert mixed numbers to improper fractions:

3 \frac{3}{5} = \frac{18}{5}

= 2 \div \frac{18}{5} + 2 \frac{2}{3}

Convert mixed numbers to improper fractions:

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

= 2 \div \frac{18}{5} + \frac{8}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \div \frac{18}{5} : \frac{5}{9}

= \frac{5}{9} + \frac{8}{3}

Add and subtract (left to right)

\frac{5}{9} + \frac{8}{3} : \frac{29}{9}

= \frac{29}{9}

Convert improper fractions to mixed numbers:

\frac{29}{9} = 3 \frac{2}{9}

= 3 \frac{2}{9}

12 \times (7 + 9)

2 4^{2} + 6

15 - {4 + [5 - 4 + (9 - 3)] - 16}

4 + 764 + (- 2)

145 - 36 + 427 + 1135 - 84