Solve 24+5*17.889div8

$$24+5 \times 17.889 \div 8$$

Evaluate

$$35.180625$$

Solution Steps

Multiply 5 and 17.889 to get 89.445.

$$24+\frac{89.445}{8}$$

Expand \frac{89.445}{8} by multiplying both numerator and the denominator by 1000.

$$24+\frac{89445}{8000}$$

Reduce the fraction \frac{89445}{8000} to lowest terms by extracting and canceling out 5.

$$24+\frac{17889}{1600}$$

Convert 24 to fraction \frac{38400}{1600}.

$$\frac{38400}{1600}+\frac{17889}{1600}$$

Since \frac{38400}{1600} and \frac{17889}{1600} have the same denominator, add them by adding their numerators.

$$\frac{38400+17889}{1600}$$

Add 38400 and 17889 to get 56289.

$$\frac{56289}{1600}$$

Factor

$$\frac{3 \cdot 29 \cdot 647}{2 ^ {6} \cdot 5 ^ {2}} = 35\frac{289}{1600} = 35.180625$$