\(4 \frac{3}{4} + \frac{7}{8}\)
Convert mixed numbers to improper fractions
\(= \frac{19}{4} + \frac{7}{8}\)
Find de LCD for 4 and 8 :
Factor each denominator into its primes:
\(4 = 2^2\)
\(8 = 2^3\)
Find the least common denominator \(2^3 = 8\)
Adjust fractions based on the LCD :
\(\frac{19*2}{8} + \frac{7}{8}\)
Since the denominators are equal , combine the fractions:
\(\frac{2*19+7}{8}\)
\(\frac{38+7}{8}\)
\(= \frac{45}{8}\)
Therefore:
Convert improper fractions to mixed numbers
\(= 5 \frac{5}{8}\)
hope this helps!