The equation of a line is given as 1/3x+1/6y=4 if rashonda wants to clear the fraction by what numbers should she multiply the equation

Answer 1

To clear the fractions in the equation \(\frac{1}{3}x + \frac{1}{6}y = 4\), Rashonda should multiply the entire equation by the least common multiple (LCM) of the denominators. In this case, the denominators are 3 and 6.

The least common multiple of 3 and 6 is 6.

So, multiplying every term in the equation by 6 gives:

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

This simplifies to:

\[ 2x + y = 24 \]

Thus, Rashonda should multiply the entire equation by 6 to clear the fractions.