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solve for n. \\(\\frac{11}{5} = \\frac{n}{3}\\) \\(n = \\square\\) subm…

Question

solve for n.
\\(\frac{11}{5} = \frac{n}{3}\\)
\\(n = \square\\)
submit

Explanation:

Step1: Cross - multiply the fractions

To solve for \( n \) in the equation \(\frac{11}{5}=\frac{n}{3}\), we can use cross - multiplication. Cross - multiplying means that we multiply the numerator of the left - hand side fraction by the denominator of the right - hand side fraction and set it equal to the numerator of the right - hand side fraction multiplied by the denominator of the left - hand side fraction. So we get \( 11\times3 = 5\times n \).

Step2: Solve for \( n \)

First, calculate the left - hand side of the equation. \( 11\times3=33 \). So our equation becomes \( 33 = 5n \). To isolate \( n \), we divide both sides of the equation by 5. \( n=\frac{33}{5} \) (or we can also write it as a decimal \( n = 6.6 \), but since the problem has a fraction button, the fractional form is more appropriate here).

Answer:

\(\frac{33}{5}\) (or \( 6.6 \))