Solve 16*(13*6)div(13*6+35.5)

$$16 \times (13 \times 6) \div (13 \times 6+35.5)$$

Evaluate

$$\frac{2496}{227}\approx 10.995594714$$

Solution Steps

Multiply 16 and 13 to get 208.

$$\frac{208\times 6}{13\times 6+35.5}$$

Multiply 208 and 6 to get 1248.

$$\frac{1248}{13\times 6+35.5}$$

Multiply 13 and 6 to get 78.

$$\frac{1248}{78+35.5}$$

Add 78 and 35.5 to get 113.5.

$$\frac{1248}{113.5}$$

Expand \frac{1248}{113.5} by multiplying both numerator and the denominator by 10.

$$\frac{12480}{1135}$$

Reduce the fraction \frac{12480}{1135} to lowest terms by extracting and canceling out 5.

$$\frac{2496}{227}$$

Factor

$$\frac{3 \cdot 13 \cdot 2 ^ {6}}{227} = 10\frac{226}{227} = 10.995594713656388$$