Solve y=frac{frac{frac{frac{frac{1/2/3/4/5}{6}}{7}}{8}}{9}}{10}

$$y= \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ 1 }{ 2 } }{ 3 } }{ 4 } }{ 5 } }{ 6 } }{ 7 } }{ 8 } }{ 9 } }{ 10 }$$

Solve for y

$$y=\frac{1}{3628800}\approx 0.000000276$$

Steps for Solving Linear Equation

Express \frac{\frac{1}{2}}{3} as a single fraction.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2\times 3}}{4}}{5}}{6}}{7}}{8}}{9}}{10}$$

Multiply 2 and 3 to get 6.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{6}}{4}}{5}}{6}}{7}}{8}}{9}}{10}$$

Express \frac{\frac{1}{6}}{4} as a single fraction.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{6\times 4}}{5}}{6}}{7}}{8}}{9}}{10}$$

Multiply 6 and 4 to get 24.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{24}}{5}}{6}}{7}}{8}}{9}}{10}$$

Express \frac{\frac{1}{24}}{5} as a single fraction.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{1}{24\times 5}}{6}}{7}}{8}}{9}}{10}$$

Multiply 24 and 5 to get 120.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{1}{120}}{6}}{7}}{8}}{9}}{10}$$

Express \frac{\frac{1}{120}}{6} as a single fraction.

$$y=\frac{\frac{\frac{\frac{\frac{1}{120\times 6}}{7}}{8}}{9}}{10}$$

Multiply 120 and 6 to get 720.

$$y=\frac{\frac{\frac{\frac{\frac{1}{720}}{7}}{8}}{9}}{10}$$

Express \frac{\frac{1}{720}}{7} as a single fraction.

$$y=\frac{\frac{\frac{\frac{1}{720\times 7}}{8}}{9}}{10}$$

Multiply 720 and 7 to get 5040.

$$y=\frac{\frac{\frac{\frac{1}{5040}}{8}}{9}}{10}$$

Express \frac{\frac{1}{5040}}{8} as a single fraction.

$$y=\frac{\frac{\frac{1}{5040\times 8}}{9}}{10}$$

Multiply 5040 and 8 to get 40320.

$$y=\frac{\frac{\frac{1}{40320}}{9}}{10}$$

Express \frac{\frac{1}{40320}}{9} as a single fraction.

$$y=\frac{\frac{1}{40320\times 9}}{10}$$

Multiply 40320 and 9 to get 362880.

$$y=\frac{\frac{1}{362880}}{10}$$

Express \frac{\frac{1}{362880}}{10} as a single fraction.

$$y=\frac{1}{362880\times 10}$$

Multiply 362880 and 10 to get 3628800.

$$y=\frac{1}{3628800}$$

Assign y

$$y≔\frac{1}{3628800}$$