Respuesta :

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]