Solve 21:31:45:53:67:7:89=

$$21 : 31 : 45 : 53 : 67 : 7 : 89 =$$

Evaluate

$$\frac{1}{146958135}\approx 6.804659028 \cdot 10^{-9}$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{\frac{21}{31}}{45}}{53}}{67}}{7}}{89} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{21}{31}}{45}}{53}}{67}}{7\times 89}$$

Express \frac{\frac{\frac{\frac{21}{31}}{45}}{53}}{67} as a single fraction.

$$\frac{\frac{\frac{\frac{21}{31}}{45}}{53\times 67}}{7\times 89}$$

Express \frac{\frac{21}{31}}{45} as a single fraction.

$$\frac{\frac{\frac{21}{31\times 45}}{53\times 67}}{7\times 89}$$

Multiply 31 and 45 to get 1395.

$$\frac{\frac{\frac{21}{1395}}{53\times 67}}{7\times 89}$$

Reduce the fraction \frac{21}{1395} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{\frac{7}{465}}{53\times 67}}{7\times 89}$$

Multiply 53 and 67 to get 3551.

$$\frac{\frac{\frac{7}{465}}{3551}}{7\times 89}$$

Express \frac{\frac{7}{465}}{3551} as a single fraction.

$$\frac{\frac{7}{465\times 3551}}{7\times 89}$$

Multiply 465 and 3551 to get 1651215.

$$\frac{\frac{7}{1651215}}{7\times 89}$$

Multiply 7 and 89 to get 623.

$$\frac{\frac{7}{1651215}}{623}$$

Express \frac{\frac{7}{1651215}}{623} as a single fraction.

$$\frac{7}{1651215\times 623}$$

Multiply 1651215 and 623 to get 1028706945.

$$\frac{7}{1028706945}$$

Reduce the fraction \frac{7}{1028706945} to lowest terms by extracting and canceling out 7.

$$\frac{1}{146958135}$$

Factor

$$\frac{1}{3 \cdot 5 \cdot 31 \cdot 53 \cdot 67 \cdot 89} = 6.804659027552302 \times 10^{-9}$$