Solve 24/7+(-35/14)=

$$2 \frac { 4 } { 7 } + ( - 3 \frac { 5 } { 14 } ) =$$

Evaluate

$$-\frac{11}{14}\approx -0.785714286$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+4}{7}-\frac{3\times 14+5}{14}$$

Add 14 and 4 to get 18.

$$\frac{18}{7}-\frac{3\times 14+5}{14}$$

Multiply 3 and 14 to get 42.

$$\frac{18}{7}-\frac{42+5}{14}$$

Add 42 and 5 to get 47.

$$\frac{18}{7}-\frac{47}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{18}{7} and \frac{47}{14} to fractions with denominator 14.

$$\frac{36}{14}-\frac{47}{14}$$

Since \frac{36}{14} and \frac{47}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-47}{14}$$

Subtract 47 from 36 to get -11.

$$-\frac{11}{14}$$

Factor

$$-\frac{11}{14} = -0.7857142857142857$$