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x-(7)/(4)=(5)/(6)

$x-\frac{7}{4}=\frac{5}{6}$

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Evaluate integers raised to rational exponents

Full solution

Q.

x-\frac{7}{4}=\frac{5}{6}

Isolate $x$ by adding $\frac{7}{4}$ : Add $\frac{7}{4}$ to both sides to isolate $x$ . $\newline$ $x - \frac{7}{4} + \frac{7}{4} = \frac{5}{6} + \frac{7}{4}$
Find common denominator: Find a common denominator for $\frac{5}{6}$ and $\frac{7}{4}$ , which is $12$ . $\newline$ $x = \left(\frac{5}{6}\right) \cdot \left(\frac{2}{2}\right) + \left(\frac{7}{4}\right) \cdot \left(\frac{3}{3}\right)$
Multiply to get common denominators: Multiply to get common denominators. $x = \frac{10}{12} + \frac{21}{12}$
Add the fractions: Add the fractions. $x = \frac{10 + 21}{12}$
Simplify the sum: Simplify the sum. $x = \frac{31}{12}$

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