Solve F=-5/7+-15/2

$$F = \frac { - 5 } { 7 } + \frac { - 15 } { 2 }$$

Solve for F

$$F = -\frac{115}{14} = -8\frac{3}{14} \approx -8.214285714$$

Steps for Solving Linear Equation

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$F=-\frac{5}{7}+\frac{-15}{2}$$

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$F=-\frac{5}{7}-\frac{15}{2}$$

Least common multiple of 7 and 2 is 14. Convert -\frac{5}{7} and \frac{15}{2} to fractions with denominator 14.

$$F=-\frac{10}{14}-\frac{105}{14}$$

Since -\frac{10}{14} and \frac{105}{14} have the same denominator, subtract them by subtracting their numerators.

$$F=\frac{-10-105}{14}$$

Subtract 105 from -10 to get -115.

$$F=-\frac{115}{14}$$

Assign F

$$F≔-\frac{115}{14}$$