Solve 12/7--2/17*34/-5

$$\frac{ 12 }{ 7 } - \frac{ -2 }{ 17 } \times \frac{ 34 }{ -5 }$$

Evaluate

$$\frac{32}{35}\approx 0.914285714$$

Solution Steps

Fraction \frac{-2}{17} can be rewritten as -\frac{2}{17} by extracting the negative sign.

$$\frac{12}{7}-\left(-\frac{2}{17}\times \frac{34}{-5}\right)$$

Fraction \frac{34}{-5} can be rewritten as -\frac{34}{5} by extracting the negative sign.

$$\frac{12}{7}-\left(-\frac{2}{17}\left(-\frac{34}{5}\right)\right)$$

Multiply -\frac{2}{17} times -\frac{34}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12}{7}-\frac{-2\left(-34\right)}{17\times 5}$$

Do the multiplications in the fraction \frac{-2\left(-34\right)}{17\times 5}.

$$\frac{12}{7}-\frac{68}{85}$$

Reduce the fraction \frac{68}{85} to lowest terms by extracting and canceling out 17.

$$\frac{12}{7}-\frac{4}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{12}{7} and \frac{4}{5} to fractions with denominator 35.

$$\frac{60}{35}-\frac{28}{35}$$

Since \frac{60}{35} and \frac{28}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-28}{35}$$

Subtract 28 from 60 to get 32.

$$\frac{32}{35}$$

Factor

$$\frac{2 ^ {5}}{5 \cdot 7} = 0.9142857142857143$$