Michael Maggard

2022-01-17

Solve.
$\frac{5x}{6}+\frac{x}{4}$

temzej9

Expert

Step 1
We have to simplify the given expression:
$\frac{5x}{6}+\frac{x}{4}$
In addition of fraction we do take LCM of the denominators of those fraction,
suppose we have given addition as:
$\frac{a}{b}+\frac{c}{d}$
Then we need to take LCM of denominators b and d, so that
$\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$
Step 2
Here taking LCM of denominators by

Jordan Mitchell

Expert

Find a common denominator
$\frac{5x}{6}+\frac{x}{4}$
$\frac{2\cdot 5x}{12}+\frac{3x}{12}$
$\frac{2\cdot 5x+3x}{12}$
Multiply numbers
$\frac{10x+3x}{12}$
Combine similar members
$\frac{13x}{12}$
The solution:
$\frac{13x}{12}$

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