Answer:
[tex]\Large \boxed{3\frac{7}{8}}[/tex]
Step-by-step explanation:
Let the missing value be x.
[tex]x+5\frac{3}{4} =9 \frac{5}{8}[/tex]
Subtract [tex]5 \frac{3}{4}[/tex] from both sides.
[tex]x =9 \frac{5}{8} - 5 \frac{3}{4}[/tex]
Converting the mixed fractions to improper fractions.
[tex]x =\frac{77}{8} - \frac{23}{4}[/tex]
Make denominators equal and subtract.
[tex]x =\frac{77}{8} - \frac{46}{8}[/tex]
[tex]x =\frac{77-46}{8}[/tex]
[tex]x =\frac{31}{8}[/tex]
Converting the improper fraction into a mixed fraction.
[tex]x=3\frac{7}{8}[/tex]
