Solve 23*6/23*5{23*4/frac{23*3{frac{23*2/23}}}}

$$\frac{ 23 \times 6 }{ \frac{ 23 \times 5 }{ \frac{ 23 \times 4 }{ \frac{ 23 \times 3 }{ \frac{ 23 \times 2 }{ 23 } } } } }$$

Evaluate

$$\frac{16}{5}=3.2$$

Solution Steps

Multiply 23 and 6 to get 138.

$$\frac{138}{\frac{23\times 5}{\frac{23\times 4}{\frac{23\times 3}{\frac{23\times 2}{23}}}}}$$

Multiply 23 and 5 to get 115.

$$\frac{138}{\frac{115}{\frac{23\times 4}{\frac{23\times 3}{\frac{23\times 2}{23}}}}}$$

Multiply 23 and 4 to get 92.

$$\frac{138}{\frac{115}{\frac{92}{\frac{23\times 3}{\frac{23\times 2}{23}}}}}$$

Multiply 23 and 3 to get 69.

$$\frac{138}{\frac{115}{\frac{92}{\frac{69}{\frac{23\times 2}{23}}}}}$$

Cancel out 23 and 23.

$$\frac{138}{\frac{115}{\frac{92}{\frac{69}{2}}}}$$

Divide 92 by \frac{69}{2} by multiplying 92 by the reciprocal of \frac{69}{2}.

$$\frac{138}{\frac{115}{92\times \frac{2}{69}}}$$

Express 92\times \frac{2}{69} as a single fraction.

$$\frac{138}{\frac{115}{\frac{92\times 2}{69}}}$$

Multiply 92 and 2 to get 184.

$$\frac{138}{\frac{115}{\frac{184}{69}}}$$

Reduce the fraction \frac{184}{69} to lowest terms by extracting and canceling out 23.

$$\frac{138}{\frac{115}{\frac{8}{3}}}$$

Divide 115 by \frac{8}{3} by multiplying 115 by the reciprocal of \frac{8}{3}.

$$\frac{138}{115\times \frac{3}{8}}$$

Express 115\times \frac{3}{8} as a single fraction.

$$\frac{138}{\frac{115\times 3}{8}}$$

Multiply 115 and 3 to get 345.

$$\frac{138}{\frac{345}{8}}$$

Divide 138 by \frac{345}{8} by multiplying 138 by the reciprocal of \frac{345}{8}.

$$138\times \frac{8}{345}$$

Express 138\times \frac{8}{345} as a single fraction.

$$\frac{138\times 8}{345}$$

Multiply 138 and 8 to get 1104.

$$\frac{1104}{345}$$

Reduce the fraction \frac{1104}{345} to lowest terms by extracting and canceling out 69.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$