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If \(\frac{1}{6}+\frac{x}{6}=\frac{5}{6}\), then what is the value of \(x\)?
Solution
When we add two like fractions, the numerators of the fractions gets added and the
denominator remains
the same.
$$~~~\frac{1}{6}+\frac{x}{6}=\frac{5}{6}$$
$$\Rightarrow \frac{1+x}{6}=\frac56$$
From this expression, it is clear that \((1+x)\) must be equal to \(5\).
$$\displaylines{\therefore 1+x = 5 \\
~~~~~~\Rightarrow ~~~~~x=5-1\\
\Rightarrow ~~~~~x = 4}$$