Answer:
[tex]7\frac{1}{4}[/tex]
Step-by-step explanation:
Change to improper fraction.
[tex]8\frac{1}{2}[/tex] ⇒ [tex]\frac{17}{2}[/tex]
[tex]1\frac{1}{4}[/tex] ⇒ [tex]\frac{5}{4}[/tex]
Find the least common denominator (LCD) of the two fractions. ⇒ 4
[tex]\frac{34}{4}[/tex] - [tex]\frac{5}{4}[/tex] = [tex]\frac{29}{4}[/tex]
Convert to a mixed number.
[tex]\frac{29}{4}[/tex] ⇒ [tex]7\frac{1}{4}[/tex]
Hence, [tex]8\frac{1}{2} - 1\frac{1}{4} = 7\frac{1}{4}[/tex]