Solve 7/3*3{frac{21/2221*241551}}

$$\frac{ 7 }{ 3 \times \frac{ 3 }{ \frac{ 21 }{ 2221 \times 24 } 1551 } }$$

Evaluate

$$\frac{25333}{53304}\approx 0.47525514$$

Solution Steps

Multiply 2221 and 24 to get 53304.

$$\frac{7}{3\times \frac{3}{\frac{21}{53304}\times 1551}}$$

Reduce the fraction \frac{21}{53304} to lowest terms by extracting and canceling out 3.

$$\frac{7}{3\times \frac{3}{\frac{7}{17768}\times 1551}}$$

Express \frac{7}{17768}\times 1551 as a single fraction.

$$\frac{7}{3\times \frac{3}{\frac{7\times 1551}{17768}}}$$

Multiply 7 and 1551 to get 10857.

$$\frac{7}{3\times \frac{3}{\frac{10857}{17768}}}$$

Divide 3 by \frac{10857}{17768} by multiplying 3 by the reciprocal of \frac{10857}{17768}.

$$\frac{7}{3\times 3\times \frac{17768}{10857}}$$

Express 3\times \frac{17768}{10857} as a single fraction.

$$\frac{7}{3\times \frac{3\times 17768}{10857}}$$

Multiply 3 and 17768 to get 53304.

$$\frac{7}{3\times \frac{53304}{10857}}$$

Reduce the fraction \frac{53304}{10857} to lowest terms by extracting and canceling out 3.

$$\frac{7}{3\times \frac{17768}{3619}}$$

Express 3\times \frac{17768}{3619} as a single fraction.

$$\frac{7}{\frac{3\times 17768}{3619}}$$

Multiply 3 and 17768 to get 53304.

$$\frac{7}{\frac{53304}{3619}}$$

Divide 7 by \frac{53304}{3619} by multiplying 7 by the reciprocal of \frac{53304}{3619}.

$$7\times \frac{3619}{53304}$$

Express 7\times \frac{3619}{53304} as a single fraction.

$$\frac{7\times 3619}{53304}$$

Multiply 7 and 3619 to get 25333.

$$\frac{25333}{53304}$$

Factor

$$\frac{7 ^ {2} \cdot 11 \cdot 47}{2 ^ {3} \cdot 3 \cdot 2221} = 0.47525514032717997$$