To clear the fractions in the equation \( y = \frac{2}{3}x + \frac{1}{4} \), we need to find a number that can be multiplied to each term in the equation to eliminate the denominators.
The two fractions present are \(\frac{2}{3}\) and \(\frac{1}{4}\). To eliminate these fractions, we can determine the least common multiple (LCM) of the denominators 3 and 4.
The LCM of 3 and 4 is 12. Therefore, we can multiply the entire equation by 12 to clear the fractions:
\[ 12y = 12 \left(\frac{2}{3}x\right) + 12 \left(\frac{1}{4}\right) \]
This results in:
\[ 12y = 8x + 3 \]
So, Rahul can multiply the entire equation by 12 to clear the fractions and rewrite the equation in standard form.
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