Solve (-5/15div7/8)*3/10

$$( \frac{ -5 }{ 15 } \div \frac{ 7 }{ 8 } ) \times \frac{ 3 }{ 10 }$$

Evaluate

$$-\frac{4}{35}\approx -0.114285714$$

Solution Steps

Divide \frac{-5}{15} by \frac{7}{8} by multiplying \frac{-5}{15} by the reciprocal of \frac{7}{8}.

$$\frac{-5\times 8}{15\times 7}\times \frac{3}{10}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-8}{3\times 7}\times \frac{3}{10}$$

Multiply 3 and 7 to get 21.

$$\frac{-8}{21}\times \frac{3}{10}$$

Fraction \frac{-8}{21} can be rewritten as -\frac{8}{21} by extracting the negative sign.

$$-\frac{8}{21}\times \frac{3}{10}$$

Multiply -\frac{8}{21} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\times 3}{21\times 10}$$

Do the multiplications in the fraction \frac{-8\times 3}{21\times 10}.

$$\frac{-24}{210}$$

Reduce the fraction \frac{-24}{210} to lowest terms by extracting and canceling out 6.

$$-\frac{4}{35}$$

Factor

$$-\frac{4}{35} = -0.11428571428571428$$