The fractions in this equation are 3/4 and 5/6. The denominators of those fractions are 4 and 6. The lowest common multiple (LCM) of the numbers 4 and 6 is 12. The LCM is 12 because this is the smallest multiple 4 and 6 have in common
Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, ....
Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ....
The LCM has been highlighted in bold to make it easier to spot
Therefore, the LCD (lowest common denominator) of the fractions is 12. If we were to multiply both sides of this equation by the LCD, then we will clear out the fractions entirely to have whole numbers only left over.
Check out the attached image below for the steps of this process.
Final Answer: 9x + 36 = 10
