Solve 290*12.5/100*6

$$290 \times \frac{ 12.5 }{ 100 } \times 6$$

Evaluate

$$217.5$$

Solution Steps

Expand \frac{12.5}{100} by multiplying both numerator and the denominator by 10.

$$290\times \frac{125}{1000}\times 6$$

Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$290\times \frac{1}{8}\times 6$$

Multiply 290 and \frac{1}{8} to get \frac{290}{8}.

$$\frac{290}{8}\times 6$$

Reduce the fraction \frac{290}{8} to lowest terms by extracting and canceling out 2.

$$\frac{145}{4}\times 6$$

Express \frac{145}{4}\times 6 as a single fraction.

$$\frac{145\times 6}{4}$$

Multiply 145 and 6 to get 870.

$$\frac{870}{4}$$

Reduce the fraction \frac{870}{4} to lowest terms by extracting and canceling out 2.

$$\frac{435}{2}$$

Factor

$$\frac{3 \cdot 5 \cdot 29}{2} = 217\frac{1}{2} = 217.5$$