Solve F=2+4+5/3-4/3/4-frac{5{3}+4/3}

$$F = 2 + \frac { 4 + \frac { 5 } { 3 } - \frac { 4 } { 3 } } { 4 - \frac { 5 } { 3 } + \frac { 4 } { 3 } }$$

Solve for F

$$F = \frac{35}{11} = 3\frac{2}{11} \approx 3.181818182$$

Steps for Solving Linear Equation

Convert 4 to fraction \frac{12}{3}.

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

Since \frac{12}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

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

Add 12 and 5 to get 17.

$$F=2+\frac{\frac{17}{3}-\frac{4}{3}}{4-\frac{5}{3}+\frac{4}{3}}$$

Since \frac{17}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$F=2+\frac{\frac{17-4}{3}}{4-\frac{5}{3}+\frac{4}{3}}$$

Subtract 4 from 17 to get 13.

$$F=2+\frac{\frac{13}{3}}{4-\frac{5}{3}+\frac{4}{3}}$$

Convert 4 to fraction \frac{12}{3}.

$$F=2+\frac{\frac{13}{3}}{\frac{12}{3}-\frac{5}{3}+\frac{4}{3}}$$

Since \frac{12}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$F=2+\frac{\frac{13}{3}}{\frac{12-5}{3}+\frac{4}{3}}$$

Subtract 5 from 12 to get 7.

$$F=2+\frac{\frac{13}{3}}{\frac{7}{3}+\frac{4}{3}}$$

Since \frac{7}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$F=2+\frac{\frac{13}{3}}{\frac{7+4}{3}}$$

Add 7 and 4 to get 11.

$$F=2+\frac{\frac{13}{3}}{\frac{11}{3}}$$

Divide \frac{13}{3} by \frac{11}{3} by multiplying \frac{13}{3} by the reciprocal of \frac{11}{3}.

$$F=2+\frac{13}{3}\times \frac{3}{11}$$

Multiply \frac{13}{3} times \frac{3}{11} by multiplying numerator times numerator and denominator times denominator.

$$F=2+\frac{13\times 3}{3\times 11}$$

Cancel out 3 in both numerator and denominator.

$$F=2+\frac{13}{11}$$

Convert 2 to fraction \frac{22}{11}.

$$F=\frac{22}{11}+\frac{13}{11}$$

Since \frac{22}{11} and \frac{13}{11} have the same denominator, add them by adding their numerators.

$$F=\frac{22+13}{11}$$

Add 22 and 13 to get 35.

$$F=\frac{35}{11}$$

Assign F

$$F≔\frac{35}{11}$$