Question

solve using the addition principle. dont forget to perform a check.

\\x - \frac{3}{4} = \frac{5}{6}\\

Explanation:

Isolate the variable using the addition principle

$$ x - \frac{3}{4} + \frac{3}{4} = \frac{5}{6} + \frac{3}{4} $$

$$ x = \frac{5}{6} + \frac{3}{4} $$

Find a common denominator and add the fractions

$$ \text{LCD}(6, 4) = 12 $$

$$ x = \frac{5 \times 2}{6 \times 2} + \frac{3 \times 3}{4 \times 3} $$

$$ x = \frac{10}{12} + \frac{9}{12} $$

$$ x = \frac{19}{12} $$

Answer:

\(x = \frac{19}{12}\)