Solve {7/5*(-3/12)}+{7/5*5/12}

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

Evaluate

$$\frac{7}{30}\approx 0.233333333$$

Solution Steps

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

$$\frac{7}{5}\left(-\frac{1}{4}\right)+\frac{7}{5}\times \frac{5}{12}$$

Multiply \frac{7}{5} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-1\right)}{5\times 4}+\frac{7}{5}\times \frac{5}{12}$$

Do the multiplications in the fraction \frac{7\left(-1\right)}{5\times 4}.

$$\frac{-7}{20}+\frac{7}{5}\times \frac{5}{12}$$

Fraction \frac{-7}{20} can be rewritten as -\frac{7}{20} by extracting the negative sign.

$$-\frac{7}{20}+\frac{7}{5}\times \frac{5}{12}$$

Multiply \frac{7}{5} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{7}{20}+\frac{7\times 5}{5\times 12}$$

Cancel out 5 in both numerator and denominator.

$$-\frac{7}{20}+\frac{7}{12}$$

Least common multiple of 20 and 12 is 60. Convert -\frac{7}{20} and \frac{7}{12} to fractions with denominator 60.

$$-\frac{21}{60}+\frac{35}{60}$$

Since -\frac{21}{60} and \frac{35}{60} have the same denominator, add them by adding their numerators.

$$\frac{-21+35}{60}$$

Add -21 and 35 to get 14.

$$\frac{14}{60}$$

Reduce the fraction \frac{14}{60} to lowest terms by extracting and canceling out 2.

$$\frac{7}{30}$$

Factor

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$