Solve ((5*9272)+(8*2674)div(2674+9272

$$((5 \times 9272)+(8 \times 2674) \div (2674+9272$$

Evaluate

$$\frac{276918976}{5973}\approx 46361.790724929$$

Solution Steps

Multiply 5 and 9272 to get 46360.

$$46360+\frac{8\times 2674}{2674+9272}$$

Multiply 8 and 2674 to get 21392.

$$46360+\frac{21392}{2674+9272}$$

Add 2674 and 9272 to get 11946.

$$46360+\frac{21392}{11946}$$

Reduce the fraction \frac{21392}{11946} to lowest terms by extracting and canceling out 2.

$$46360+\frac{10696}{5973}$$

Convert 46360 to fraction \frac{276908280}{5973}.

$$\frac{276908280}{5973}+\frac{10696}{5973}$$

Since \frac{276908280}{5973} and \frac{10696}{5973} have the same denominator, add them by adding their numerators.

$$\frac{276908280+10696}{5973}$$

Add 276908280 and 10696 to get 276918976.

$$\frac{276918976}{5973}$$

Factor

$$\frac{2 ^ {6} \cdot 4326859}{3 \cdot 11 \cdot 181} = 46361\frac{4723}{5973} = 46361.79072492885$$