Solve (435.756+12.1396)div122.4/(245.00-3.751)*11.33

$$\frac { ( 435.756 + 12.1396 ) \div 122.4 } { ( 245.00 - 3.751 ) \times 11.33 }$$

Evaluate

$$\frac{3293350}{2460016053}\approx 0.001338751$$

Solution Steps

Add 435.756 and 12.1396 to get 447.8956.

$$\frac{\frac{447.8956}{122.4}}{\left(245-3.751\right)\times 11.33}$$

Expand \frac{447.8956}{122.4} by multiplying both numerator and the denominator by 10000.

$$\frac{\frac{4478956}{1224000}}{\left(245-3.751\right)\times 11.33}$$

Reduce the fraction \frac{4478956}{1224000} to lowest terms by extracting and canceling out 68.

$$\frac{\frac{65867}{18000}}{\left(245-3.751\right)\times 11.33}$$

Subtract 3.751 from 245 to get 241.249.

$$\frac{\frac{65867}{18000}}{241.249\times 11.33}$$

Multiply 241.249 and 11.33 to get 2733.35117.

$$\frac{\frac{65867}{18000}}{2733.35117}$$

Express \frac{\frac{65867}{18000}}{2733.35117} as a single fraction.

$$\frac{65867}{18000\times 2733.35117}$$

Multiply 18000 and 2733.35117 to get 49200321.06.

$$\frac{65867}{49200321.06}$$

Expand \frac{65867}{49200321.06} by multiplying both numerator and the denominator by 100.

$$\frac{6586700}{4920032106}$$

Reduce the fraction \frac{6586700}{4920032106} to lowest terms by extracting and canceling out 2.

$$\frac{3293350}{2460016053}$$

Factor

$$\frac{2 \cdot 65867 \cdot 5 ^ {2}}{11 \cdot 103 \cdot 241249 \cdot 3 ^ {2}} = 0.0013387514264322567$$