Answer:
[tex]-\frac{10}{12}[/tex]
Step-by-step explanation:
First things first when adding or subtracting fractions you need to have a common denominator. In order to have a common denominator we need to find a common factor.
[tex]\frac{15}{4} +(-4 \frac{1}{3})=[/tex]
[tex]\frac{45}{12} +(-4\frac{4}{12} )[/tex]
When "adding" a negative and a positive you will actually subtract. So you are basically just subtracting here.
[tex]\frac{45}{12} +(-4\frac{4}{12} )=[/tex]
[tex]\frac{45}{12} -4\frac{4}{12}[/tex]
Lets first convert our mixed number into an improper fraction.
[tex]\frac{45}{12} -4\frac{4}{12}=[/tex]
[tex]\frac{45}{12} -\frac{52}{12}[/tex]
Now just subtract.
[tex]\frac{45}{12} -\frac{52}{12}=[/tex]
[tex]-\frac{10}{12}[/tex]
Good luck! You got this!
I can explain in more detail if you want! Just let me know!
