Answer:
- 13 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
- 4 [tex]\frac{1}{4}[/tex] - 9 [tex]\frac{1}{2}[/tex] ( change mixed numbers to improper fractions )
= - [tex]\frac{17}{4}[/tex] - [tex]\frac{19}{2}[/tex] ( multiply numerator/denominator by 2 )
= - [tex]\frac{17}{4}[/tex] - [tex]\frac{19(2)}{2(2)}[/tex]
= - [tex]\frac{17}{4}[/tex] - [tex]\frac{38}{4}[/tex] ( add the numerators leaving the common denominator )
= [tex]\frac{-17-38}{4}[/tex]
= [tex]\frac{-55}{4}[/tex]
= - [tex]\frac{55}{4}[/tex]
= - 13 [tex]\frac{3}{4}[/tex]
