The equation of a line is given as 13x+16y=4

Question

1
3
x
+
1
6
y
=
4
. If Rashonda wants to clear the fractions, by what number should she multiply the equation?(1 point)

Answer 1

To clear the fractions from the equation \( \frac{1}{3}x + \frac{1}{6}y = 4 \), we need to find the least common multiple (LCM) of the denominators, which are 3 and 6.

The LCM of 3 and 6 is 6. Therefore, Rashonda should multiply the entire equation by 6 to eliminate the fractions.

Let's demonstrate this multiplication:

\[ 6 \left( \frac{1}{3}x + \frac{1}{6}y \right) = 6 \cdot 4 \]

This simplifies to:

\[ 2x + y = 24 \]

Thus, the answer is \( 6 \).