Solve E=3tan8^circ+4/7

$$E = 3 \tan 8 ^ { \circ } + \frac { 4 } { 7 }$$

Solve for E

$$E=\frac{139027150575004409}{140000000000000000}\approx 0.993051076$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$E = 3 \cdot 0.14054083470239145 + \frac{4}{7}$$

Multiply 3 and 0.14054083470239145 to get 0.42162250410717435.

$$E=0.42162250410717435+\frac{4}{7}$$

Convert decimal number 0.42162250410717435 to fraction \frac{8432450082143487}{10000000000}. Reduce the fraction \frac{8432450082143487}{10000000000} to lowest terms by extracting and canceling out 1.

$$E=\frac{8432450082143487}{20000000000000000}+\frac{4}{7}$$

Least common multiple of 20000000000000000 and 7 is 140000000000000000. Convert \frac{8432450082143487}{20000000000000000} and \frac{4}{7} to fractions with denominator 140000000000000000.

$$E=\frac{59027150575004409}{140000000000000000}+\frac{80000000000000000}{140000000000000000}$$

Since \frac{59027150575004409}{140000000000000000} and \frac{80000000000000000}{140000000000000000} have the same denominator, add them by adding their numerators.

$$E=\frac{59027150575004409+80000000000000000}{140000000000000000}$$

Add 59027150575004409 and 80000000000000000 to get 139027150575004409.

$$E=\frac{139027150575004409}{140000000000000000}$$

Assign E

$$E≔\frac{139027150575004409}{140000000000000000}$$