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