Answer:
6 17/20
Step-by-step explanation:
Change the two mixed number into improper fractions
9[tex]\frac{1}{4}[/tex] = [tex]\frac{37}{4}[/tex]
2[tex]\frac{2}{5}[/tex] = [tex]\frac{12}{5}[/tex]
So the equation becomes
= [tex]\frac{37}{4}[/tex] - [tex]\frac{12}{5}[/tex]
Now, make the two denominators the same, by multiplying 4 by 5 making the denominator 20. Remember: whatever you do to the denominator you must do to the numerator.
= [tex]\frac{185}{20} - \frac{48}{20}[/tex]
Subtract the two numerators.
[tex]\frac{185-48}{20}[/tex] = [tex]\frac{137}{20}[/tex]
Concert the improper fraction to a mixed number and you get:
[tex]6\frac{17}{20}[/tex]