What is 5/3 \div (2/5-1/6) ?

The solution to 5/3 \div (2/5-1/6) is 7 1/7

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5/3 \div (2/5-1/6)

\frac{5}{3} \div (\frac{2}{5} - \frac{1}{6})

7 \frac{1}{7}

Solution steps

\frac{5}{3} \div (\frac{2}{5} - \frac{1}{6})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{2}{5} - \frac{1}{6}) : \frac{7}{30}

= \frac{5}{3} \div \frac{7}{30}

Multiply and divide (left to right)

\frac{5}{3} \div \frac{7}{30} : \frac{50}{7}

= \frac{50}{7}

Convert improper fractions to mixed numbers:

\frac{50}{7} = 7 \frac{1}{7}

= 7 \frac{1}{7}

- 2 - 4 - 10 \div (- 2) + 14

- 1^{2} + 2 + 8

2 - 3 \times (- 2)

3530000 - 15700000 \div 15700000

\frac{3}{5} - 3 + \frac{13}{6}