Final answer:
To eliminate fractions in a system of equations, multiply both sides of each equation by a common denominator. Then, solve the resulting system of equations using algebraic methods.
Step-by-step explanation:
To eliminate the fractions in a system of equations, you can multiply both sides of each equation by a common denominator. This will result in equations that have whole-number coefficients. Then, you can solve the system using algebraic methods.
For example, let's say we have the system of equations:
2/3x + 4/5y = 5
1/4x - 3/2y = 2
We can multiply the first equation by 15 (the LCM of 3 and 5) and the second equation by 20 (the LCM of 4 and 2) to eliminate the fractions:
10x + 12y = 75
5x - 30y = 40
Now, you can solve this system of equations using methods like substitution or elimination.