Solve 10000000000div12div24div60div60div30

$$10000000000 \div 12 \div 24 \div 60 \div 60 \div 30$$

Evaluate

$$\frac{78125}{243}\approx 321.502057613$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{10000000000}{12}}{24}}{60}}{60}}{30} as a single fraction.

$$\frac{\frac{\frac{\frac{10000000000}{12}}{24}}{60}}{60\times 30}$$

Express \frac{\frac{\frac{10000000000}{12}}{24}}{60} as a single fraction.

$$\frac{\frac{\frac{10000000000}{12}}{24\times 60}}{60\times 30}$$

Reduce the fraction \frac{10000000000}{12} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{\frac{2500000000}{3}}{24\times 60}}{60\times 30}$$

Multiply 24 and 60 to get 1440.

$$\frac{\frac{\frac{2500000000}{3}}{1440}}{60\times 30}$$

Express \frac{\frac{2500000000}{3}}{1440} as a single fraction.

$$\frac{\frac{2500000000}{3\times 1440}}{60\times 30}$$

Multiply 3 and 1440 to get 4320.

$$\frac{\frac{2500000000}{4320}}{60\times 30}$$

Reduce the fraction \frac{2500000000}{4320} to lowest terms by extracting and canceling out 160.

$$\frac{\frac{15625000}{27}}{60\times 30}$$

Multiply 60 and 30 to get 1800.

$$\frac{\frac{15625000}{27}}{1800}$$

Express \frac{\frac{15625000}{27}}{1800} as a single fraction.

$$\frac{15625000}{27\times 1800}$$

Multiply 27 and 1800 to get 48600.

$$\frac{15625000}{48600}$$

Reduce the fraction \frac{15625000}{48600} to lowest terms by extracting and canceling out 200.

$$\frac{78125}{243}$$

Factor

$$\frac{5 ^ {7}}{3 ^ {5}} = 321\frac{122}{243} = 321.50205761316874$$