Solve 37/180-15/67*2/17

$$\frac{ 37 }{ 180 } - \frac{ 15 }{ 67 } \times \frac{ 2 }{ 17 }$$

Evaluate

$$\frac{36743}{205020}\approx 0.179216662$$

Solution Steps

Multiply \frac{15}{67} times \frac{2}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37}{180}-\frac{15\times 2}{67\times 17}$$

Do the multiplications in the fraction \frac{15\times 2}{67\times 17}.

$$\frac{37}{180}-\frac{30}{1139}$$

Least common multiple of 180 and 1139 is 205020. Convert \frac{37}{180} and \frac{30}{1139} to fractions with denominator 205020.

$$\frac{42143}{205020}-\frac{5400}{205020}$$

Since \frac{42143}{205020} and \frac{5400}{205020} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42143-5400}{205020}$$

Subtract 5400 from 42143 to get 36743.

$$\frac{36743}{205020}$$

Factor

$$\frac{7 \cdot 29 \cdot 181}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 \cdot 17 \cdot 67} = 0.17921666178909373$$