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

The solution to 1/2+1/3 \div (1/2-1/3) is 2 1/2

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1/2+1/3 \div (1/2-1/3)

\frac{1}{2} + \frac{1}{3} \div (\frac{1}{2} - \frac{1}{3})

2 \frac{1}{2}

Solution steps

\frac{1}{2} + \frac{1}{3} \div (\frac{1}{2} - \frac{1}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} - \frac{1}{3}) : \frac{1}{6}

= \frac{1}{2} + \frac{1}{3} \div \frac{1}{6}

Multiply and divide (left to right)

\frac{1}{3} \div \frac{1}{6} : 2

= \frac{1}{2} + 2

Add and subtract (left to right)

\frac{1}{2} + 2 : \frac{5}{2}

= \frac{5}{2}

Convert improper fractions to mixed numbers:

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

= 2 \frac{1}{2}

x^{8} \cdot x^{3}

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

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

\frac{x - 5}{x + 5} > 0

- 10 + 11 x = x

What is 1/2+1/3 \div (1/2-1/3) ?
The solution to 1/2+1/3 \div (1/2-1/3) is 2 1/2