Solve (1150*0.5434)+(1225*0.4993)/1150+1225

$$\frac { ( 1150 \times 0.5434 ) + ( 1225 \times 0.4993 ) } { 1150 + 1225 }$$

Evaluate

$$\frac{494621}{950000}\approx 0.520653684$$

Solution Steps

Multiply 1150 and 0.5434 to get 624.91.

$$\frac{624.91+1225\times 0.4993}{1150+1225}$$

Multiply 1225 and 0.4993 to get 611.6425.

$$\frac{624.91+611.6425}{1150+1225}$$

Add 624.91 and 611.6425 to get 1236.5525.

$$\frac{1236.5525}{1150+1225}$$

Add 1150 and 1225 to get 2375.

$$\frac{1236.5525}{2375}$$

Expand \frac{1236.5525}{2375} by multiplying both numerator and the denominator by 10000.

$$\frac{12365525}{23750000}$$

Reduce the fraction \frac{12365525}{23750000} to lowest terms by extracting and canceling out 25.

$$\frac{494621}{950000}$$

Factor

$$\frac{494621}{19 \cdot 2 ^ {4} \cdot 5 ^ {5}} = 0.5206536842105263$$