Question

Select the correct answer from each drop-down menu. Consider this equation: ______. Complete the statements to make them true. The least common denominator between all three fractions is ______. The equation will have valid solutions.

Answer 1

To find the least common denominator (LCD) of three fractions, we need to find the least common multiple (LCM) of their denominators. Once we find the LCM, it will be the LCD. For example, if the fractions are 1/2, 3/4, and 2/3, the LCM of 2, 4, and 3 is 12. So, the LCD is 12.

Step-by-step explanation:

In order to find the least common denominator (LCD) of three fractions, we need to find the least common multiple (LCM) of their denominators. Once we find the LCM, it will be the LCD. Let's say the three fractions are a/b, c/d, and e/f. We need to find the LCM of b, d, and f. Once we have the LCD, the equation will have valid solutions.

For example, if the fractions are 1/2, 3/4, and 2/3, the LCM of 2, 4, and 3 is 12. So, the LCD is 12. Any equation involving these fractions will have valid solutions.