Question

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not streak, a 1 week streak and counting! fantastic consist... ments or 5th grade math challenge the skills in this challe
\\(\frac{m}{4} = \frac{6}{8}\\)
\\(m = \square\\)
pie charts: top circle divided into four \\(\frac{1}{4}\\) sections, bottom circle divided into eighths with some shaded 2 of 30

Explanation:

Step1: Cross - multiply the proportion

Given the equation \(\frac{m}{4}=\frac{6}{8}\), we cross - multiply. Cross - multiplying means that we multiply the numerator of the left - hand side by the denominator of the right - hand side and set it equal to the numerator of the right - hand side multiplied by the denominator of the left - hand side. So we get \(8\times m = 4\times6\).

Step2: Solve for m

Simplify the right - hand side of the equation: \(4\times6 = 24\), so the equation becomes \(8m=24\). Then, to solve for \(m\), we divide both sides of the equation by 8. So \(m=\frac{24}{8}\).

Step3: Simplify the fraction

Simplify \(\frac{24}{8}\), since \(24\div8 = 3\), we get \(m = 3\).

Answer:

\(3\)