Solve 5/13*(8/17)+15/17*(-12/13)=

$$\frac{ 5 }{ 13 } \times ( \frac{ 8 }{ 17 } )+ \frac{ 15 }{ 17 } \times (- \frac{ 12 }{ 13 } )=$$

Evaluate

$$-\frac{140}{221}\approx -0.633484163$$

Solution Steps

Multiply \frac{5}{13} times \frac{8}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{13\times 17}+\frac{15}{17}\left(-\frac{12}{13}\right)$$

Do the multiplications in the fraction \frac{5\times 8}{13\times 17}.

$$\frac{40}{221}+\frac{15}{17}\left(-\frac{12}{13}\right)$$

Multiply \frac{15}{17} times -\frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40}{221}+\frac{15\left(-12\right)}{17\times 13}$$

Do the multiplications in the fraction \frac{15\left(-12\right)}{17\times 13}.

$$\frac{40}{221}+\frac{-180}{221}$$

Fraction \frac{-180}{221} can be rewritten as -\frac{180}{221} by extracting the negative sign.

$$\frac{40}{221}-\frac{180}{221}$$

Since \frac{40}{221} and \frac{180}{221} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-180}{221}$$

Subtract 180 from 40 to get -140.

$$-\frac{140}{221}$$

Factor

$$-\frac{140}{221} = -0.6334841628959276$$