Solve (1512*21/60/1000)*9739

$$( \frac { 1512 \cdot \frac { 21 } { 60 } } { 1000 } ) \cdot 9739$$

Evaluate

$$\frac{12884697}{2500}=5153.8788$$

Solution Steps

Reduce the fraction \frac{21}{60} to lowest terms by extracting and canceling out 3.

$$\frac{1512\times \frac{7}{20}}{1000}\times 9739$$

Express 1512\times \frac{7}{20} as a single fraction.

$$\frac{\frac{1512\times 7}{20}}{1000}\times 9739$$

Multiply 1512 and 7 to get 10584.

$$\frac{\frac{10584}{20}}{1000}\times 9739$$

Reduce the fraction \frac{10584}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2646}{5}}{1000}\times 9739$$

Express \frac{\frac{2646}{5}}{1000} as a single fraction.

$$\frac{2646}{5\times 1000}\times 9739$$

Multiply 5 and 1000 to get 5000.

$$\frac{2646}{5000}\times 9739$$

Reduce the fraction \frac{2646}{5000} to lowest terms by extracting and canceling out 2.

$$\frac{1323}{2500}\times 9739$$

Express \frac{1323}{2500}\times 9739 as a single fraction.

$$\frac{1323\times 9739}{2500}$$

Multiply 1323 and 9739 to get 12884697.

$$\frac{12884697}{2500}$$

Factor

$$\frac{3 ^ {3} \cdot 7 ^ {2} \cdot 9739}{2 ^ {2} \cdot 5 ^ {4}} = 5153\frac{2197}{2500} = 5153.8788$$