Respuesta :

The correct answer is 6 13/24.

Explanation:
First we find a common denominator; since our denominators are 12 and 8, we will use 24.

For the first fraction, 12 will go into 24 2 times, so we multiply the numerator by 2:
11*2= 22, so we have 14 22/24.

For the second fraction, 8 will go into 24 3 times, so we multiply the numerator by 3:
3*3=9, so we have 8 9/24.

Subtracting these, we subtract the fractions first:
22/24-9/24 = 13/24.

Now subtract the whole numbers:
14-8 = 6.

This gives us 6 13/24.

Answer:

[tex]6\frac{13}{24}[/tex]

Step-by-step explanation:

We have been given a subtraction problem of two mixed fraction.

[tex]14\frac{11}{12}-8\frac{3}{8}[/tex]

First of all we will convert our given mixed fraction into improper fractions as shown below.

[tex]14\frac{11}{12}\rightarrow \frac{12\cdot 14+11}{12}=\frac{168+11}{12}=\frac{179}{12}[/tex]

[tex]8\frac{3}{8}\rightarrow \frac{8\cdot 8+3}{8}=\frac{64+3}{8}=\frac{67}{8}[/tex]

Now we will subtract our given fraction by making a common denominator.

[tex]\frac{179}{12}-\frac{67}{8}[/tex]

[tex]\frac{179*2}{12*2}-\frac{67*3}{8*3}[/tex]

[tex]\frac{358}{24}-\frac{201}{24}[/tex]

[tex]\frac{358-201}{24}[/tex]

[tex]\frac{157}{24}[/tex]

[tex]6\frac{13}{24}[/tex]

Therefore, the answer of our given subtraction problem is [tex]6\frac{13}{24}[/tex].