Solve 78*12/202*325*382*675

$$78 \times \frac { 12 } { 202 \cdot 325 } \times 382 \cdot 675$$

Evaluate

$$\frac{371304}{101}\approx 3676.277227723$$

Solution Steps

Multiply 202 and 325 to get 65650.

$$78\times \frac{12}{65650}\times 382\times 675$$

Reduce the fraction \frac{12}{65650} to lowest terms by extracting and canceling out 2.

$$78\times \frac{6}{32825}\times 382\times 675$$

Express 78\times \frac{6}{32825} as a single fraction.

$$\frac{78\times 6}{32825}\times 382\times 675$$

Multiply 78 and 6 to get 468.

$$\frac{468}{32825}\times 382\times 675$$

Reduce the fraction \frac{468}{32825} to lowest terms by extracting and canceling out 13.

$$\frac{36}{2525}\times 382\times 675$$

Express \frac{36}{2525}\times 382 as a single fraction.

$$\frac{36\times 382}{2525}\times 675$$

Multiply 36 and 382 to get 13752.

$$\frac{13752}{2525}\times 675$$

Express \frac{13752}{2525}\times 675 as a single fraction.

$$\frac{13752\times 675}{2525}$$

Multiply 13752 and 675 to get 9282600.

$$\frac{9282600}{2525}$$

Reduce the fraction \frac{9282600}{2525} to lowest terms by extracting and canceling out 25.

$$\frac{371304}{101}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {5} \cdot 191}{101} = 3676\frac{28}{101} = 3676.2772277227723$$