Solve 105/17*0.54-0.2

$$\frac{ 105 }{ 17 } \times 0.54-0.2$$

Evaluate

$$\frac{533}{170}\approx 3.135294118$$

Solution Steps

Convert decimal number 0.54 to fraction \frac{54}{100}. Reduce the fraction \frac{54}{100} to lowest terms by extracting and canceling out 2.

$$\frac{105}{17}\times \frac{27}{50}-0.2$$

Multiply \frac{105}{17} times \frac{27}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{105\times 27}{17\times 50}-0.2$$

Do the multiplications in the fraction \frac{105\times 27}{17\times 50}.

$$\frac{2835}{850}-0.2$$

Reduce the fraction \frac{2835}{850} to lowest terms by extracting and canceling out 5.

$$\frac{567}{170}-0.2$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{567}{170}-\frac{1}{5}$$

Least common multiple of 170 and 5 is 170. Convert \frac{567}{170} and \frac{1}{5} to fractions with denominator 170.

$$\frac{567}{170}-\frac{34}{170}$$

Since \frac{567}{170} and \frac{34}{170} have the same denominator, subtract them by subtracting their numerators.

$$\frac{567-34}{170}$$

Subtract 34 from 567 to get 533.

$$\frac{533}{170}$$

Factor

$$\frac{13 \cdot 41}{2 \cdot 5 \cdot 17} = 3\frac{23}{170} = 3.135294117647059$$