Solve -7/12+4/12*-12/5

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

Evaluate

$$-\frac{83}{60}\approx -1.383333333$$

Solution Steps

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{7}{12}+\frac{1}{3}\left(-\frac{12}{5}\right)$$

Multiply \frac{1}{3} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{7}{12}+\frac{1\left(-12\right)}{3\times 5}$$

Do the multiplications in the fraction \frac{1\left(-12\right)}{3\times 5}.

$$-\frac{7}{12}+\frac{-12}{15}$$

Reduce the fraction \frac{-12}{15} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 12 and 5 is 60. Convert -\frac{7}{12} and \frac{4}{5} to fractions with denominator 60.

$$-\frac{35}{60}-\frac{48}{60}$$

Since -\frac{35}{60} and \frac{48}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-48}{60}$$

Subtract 48 from -35 to get -83.

$$-\frac{83}{60}$$

Factor

$$-\frac{83}{60} = -1\frac{23}{60} = -1.3833333333333333$$