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5\\frac{5}{8} - 4\\frac{5}{6}

Question

5\frac{5}{8} - 4\frac{5}{6}

Explanation:

Step1: Convert mixed numbers to improper fractions

$5\frac{5}{8}=\frac{5\times8 + 5}{8}=\frac{45}{8}$,$4\frac{5}{6}=\frac{4\times6 + 5}{6}=\frac{29}{6}$

Step2: Find a common denominator (24) and rewrite fractions

$\frac{45}{8}=\frac{45\times3}{8\times3}=\frac{135}{24}$,$\frac{29}{6}=\frac{29\times4}{6\times4}=\frac{116}{24}$

Step3: Subtract the fractions

$\frac{135}{24}-\frac{116}{24}=\frac{135 - 116}{24}=\frac{19}{24}$

Answer:

$\frac{19}{24}$