Solve 3/12+24/-5

$$\frac { 3 } { 12 } + 2 \frac { 4 } { - 5 }$$

Evaluate

$$\frac{29}{20}=1.45$$

Solution Steps

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

$$\frac{1}{4}+\frac{2\left(-5\right)+4}{-5}$$

Multiply 2 and -5 to get -10.

$$\frac{1}{4}+\frac{-10+4}{-5}$$

Add -10 and 4 to get -6.

$$\frac{1}{4}+\frac{-6}{-5}$$

Fraction \frac{-6}{-5} can be simplified to \frac{6}{5} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{4}+\frac{6}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{6}{5} to fractions with denominator 20.

$$\frac{5}{20}+\frac{24}{20}$$

Since \frac{5}{20} and \frac{24}{20} have the same denominator, add them by adding their numerators.

$$\frac{5+24}{20}$$

Add 5 and 24 to get 29.

$$\frac{29}{20}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 5} = 1\frac{9}{20} = 1.45$$