Solve 4/5-2/17*30/11

$$\frac { 4 } { 5 } - \frac { 2 } { 17 } \cdot \frac { 30 } { 11 }$$

Evaluate

$$\frac{448}{935}\approx 0.479144385$$

Solution Steps

Multiply \frac{2}{17} times \frac{30}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}-\frac{2\times 30}{17\times 11}$$

Do the multiplications in the fraction \frac{2\times 30}{17\times 11}.

$$\frac{4}{5}-\frac{60}{187}$$

Least common multiple of 5 and 187 is 935. Convert \frac{4}{5} and \frac{60}{187} to fractions with denominator 935.

$$\frac{748}{935}-\frac{300}{935}$$

Since \frac{748}{935} and \frac{300}{935} have the same denominator, subtract them by subtracting their numerators.

$$\frac{748-300}{935}$$

Subtract 300 from 748 to get 448.

$$\frac{448}{935}$$

Factor

$$\frac{2 ^ {6} \cdot 7}{5 \cdot 11 \cdot 17} = 0.47914438502673795$$