Solve 173*21/5625*7*9/2*380

$$\frac{ 173 \cdot 2 \frac{ 1 }{ 56 } 25 \cdot 7 \cdot 9 }{ 2 \cdot 380 }$$

Evaluate

$$\frac{879705}{1216}\approx 723.441611842$$

Solution Steps

Multiply 2 and 56 to get 112.

$$\frac{173\times \frac{112+1}{56}\times 25\times 7\times 9}{2\times 380}$$

Add 112 and 1 to get 113.

$$\frac{173\times \frac{113}{56}\times 25\times 7\times 9}{2\times 380}$$

Express 173\times \frac{113}{56} as a single fraction.

$$\frac{\frac{173\times 113}{56}\times 25\times 7\times 9}{2\times 380}$$

Multiply 173 and 113 to get 19549.

$$\frac{\frac{19549}{56}\times 25\times 7\times 9}{2\times 380}$$

Express \frac{19549}{56}\times 25 as a single fraction.

$$\frac{\frac{19549\times 25}{56}\times 7\times 9}{2\times 380}$$

Multiply 19549 and 25 to get 488725.

$$\frac{\frac{488725}{56}\times 7\times 9}{2\times 380}$$

Express \frac{488725}{56}\times 7 as a single fraction.

$$\frac{\frac{488725\times 7}{56}\times 9}{2\times 380}$$

Multiply 488725 and 7 to get 3421075.

$$\frac{\frac{3421075}{56}\times 9}{2\times 380}$$

Reduce the fraction \frac{3421075}{56} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{488725}{8}\times 9}{2\times 380}$$

Express \frac{488725}{8}\times 9 as a single fraction.

$$\frac{\frac{488725\times 9}{8}}{2\times 380}$$

Multiply 488725 and 9 to get 4398525.

$$\frac{\frac{4398525}{8}}{2\times 380}$$

Multiply 2 and 380 to get 760.

$$\frac{\frac{4398525}{8}}{760}$$

Express \frac{\frac{4398525}{8}}{760} as a single fraction.

$$\frac{4398525}{8\times 760}$$

Multiply 8 and 760 to get 6080.

$$\frac{4398525}{6080}$$

Reduce the fraction \frac{4398525}{6080} to lowest terms by extracting and canceling out 5.

$$\frac{879705}{1216}$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 113 \cdot 173}{2 ^ {6} \cdot 19} = 723\frac{537}{1216} = 723.4416118421053$$