the equation of a line is given as 1/3x+1/6y=4 if rashonda wants to clear the fractions, by what number should she multiply the equation?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To clear the fractions in the equation \( \frac{1}{3}x + \frac{1}{6}y = 4 \), Rashonda can multiply every term in the equation by the least common multiple (LCM) of the denominators (3 and 6).

The LCM of 3 and 6 is 6.

So, Rashonda should multiply the entire equation by 6:

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

Calculating that gives:

\[ 2x + y = 24 \]

Thus, by multiplying the equation by 6, she will clear the fractions.