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rewrite the 2 fractions below with a common denominator. \\(\\frac{1}{4…

Question

rewrite the 2 fractions below with a common denominator.
\\(\frac{1}{4}\\) \\(\frac{7}{18}\\)
answer attempt 1 out of 2
\\(\frac{1}{4} = \frac{\square}{\square}\\) \\(\frac{7}{18} = \frac{\square}{\square}\\) submit answer

Explanation:

Step1: Find LCM of denominators

Denominators are 4 and 18. Prime factors: \(4 = 2^2\), \(18 = 2\times3^2\). LCM is \(2^2\times3^2 = 36\).

Step2: Rewrite \(\frac{1}{4}\)

Multiply numerator/denominator by 9: \(\frac{1\times9}{4\times9}=\frac{9}{36}\).

Step3: Rewrite \(\frac{7}{18}\)

Multiply numerator/denominator by 2: \(\frac{7\times2}{18\times2}=\frac{14}{36}\).

Answer:

\(\frac{1}{4}=\frac{9}{36}\), \(\frac{7}{18}=\frac{14}{36}\)