What is 3/5+8/3 \div (5-10(4+7\div (1/2-3/5))) ?

The solution to 3/5+8/3 \div (5-10(4+7\div (1/2-3/5))) is 241/399

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3/5+8/3 \div (5-10(4+7\div (1/2-3/5)))

\frac{3}{5} + \frac{8}{3} \div (5 - 10 (4 + 7 \div (\frac{1}{2} - \frac{3}{5})))

\frac{241}{399}

Solution steps

\frac{3}{5} + \frac{8}{3} \div (5 - 10 (4 + 7 \div (\frac{1}{2} - \frac{3}{5})))

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 10 (4 + 7 \div (\frac{1}{2} - \frac{3}{5}))) : 665

= \frac{3}{5} + \frac{8}{3} \div 665

Multiply and divide (left to right)

\frac{8}{3} \div 665 : \frac{8}{1995}

= \frac{3}{5} + \frac{8}{1995}

Add and subtract (left to right)

\frac{3}{5} + \frac{8}{1995} : \frac{241}{399}

= \frac{241}{399}

2.44 (\frac{0.7}{1})^{\frac{1}{3}} (6 \cdot 1 0^{4})

\frac{x ^{7}}{x ^{9}}

- 7 < 3 - 2 x \leq - 2

2 (x - \frac{1}{2}) > 3 x

3 x^{2} y + (4 x^{3} - 2 x y^{2}) + (- 2 x^{2} y + 6 x y^{2})

What is 3/5+8/3 \div (5-10(4+7\div (1/2-3/5))) ?
The solution to 3/5+8/3 \div (5-10(4+7\div (1/2-3/5))) is 241/399