Question

1. $1\frac{5}{8} + 3\frac{2}{3} = \square$

Explanation:

Step1: Convert mixed numbers to improper fractions

\(1\frac{5}{8}=\frac{1\times8 + 5}{8}=\frac{13}{8}\), \(3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}\)

Step2: Find a common denominator (LCM of 8 and 3 is 24)

\(\frac{13}{8}=\frac{13\times3}{8\times3}=\frac{39}{24}\), \(\frac{11}{3}=\frac{11\times8}{3\times8}=\frac{88}{24}\)

Step3: Add the fractions

\(\frac{39}{24}+\frac{88}{24}=\frac{39 + 88}{24}=\frac{127}{24}\)

Step4: Convert back to mixed number

\(\frac{127}{24}=5\frac{7}{24}\) (since \(127\div24 = 5\) with a remainder of \(7\))

Answer:

\(5\frac{7}{24}\)