What should the following equation be multiplied by in order to eliminate the fractions? X/4 + x/6 = 16/3
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the numerical expression:
x/4 + x/6 = 16/3
Determine the value that must be multiplied in order to cancel the denominators on both sides.
Solution:
In order to determine the value, we must find the LCM or the Least Common Denominators of x/4, x/6 and 16/3. This can be done by listing the multiples of their denominator.
Multiples of 4.
4, 8, 12, 16, 20
Multiples of 6.
6, 12, 18, 24, 30
Multiples of 3.
3, 6, 9, 12, 15
It can be seen that the Least Common Multiple is 12, therefore we can multiply 12 on both sides of the equation.
(12)( x/4 + x/6) = (12) 16/3
3x + 2x = 64
Final answer:
12 must be multiplied in order to eliminate the fractions.