2,4/7,7 - 2,8/12,1

To subtract the two mixed numbers \( 2\frac{4}{7} \) and \( 2\frac{8}{12} \), we can follow these steps:

1. Convert the mixed numbers to improper fractions.
2. Make sure the fractions have a common denominator.
3. Subtract the fractions.
4. Convert back to a mixed number if necessary.

Step 1: Convert to improper fractions

For \( 2\frac{4}{7} \):

\[ 2\frac{4}{7} = 2 \times 7 + 4 = 14 + 4 = 18 \] So,

\[ 2\frac{4}{7} = \frac{18}{7} \]

For \( 2\frac{8}{12} \):

\[ 2\frac{8}{12} = 2 \times 12 + 8 = 24 + 8 = 32 \] So,

\[ 2\frac{8}{12} = \frac{32}{12} \]

Step 2: Simplify \( \frac{32}{12} \)

To simplify \( \frac{32}{12} \), find the greatest common divisor (GCD) of 32 and 12, which is 4.

Thus,

\[ \frac{32 \div 4}{12 \div 4} = \frac{8}{3} \]

Step 3: Find a common denominator

The denominators are 7 and 3. The least common multiple (LCM) of 7 and 3 is 21.

Now, convert the fractions to have the common denominator of 21:

• For \( \frac{18}{7} \):

\[ \frac{18}{7} = \frac{18 \times 3}{7 \times 3} = \frac{54}{21} \]

• For \( \frac{8}{3} \):

\[ \frac{8}{3} = \frac{8 \times 7}{3 \times 7} = \frac{56}{21} \]

Step 4: Perform the subtraction

Now we can subtract:

\[ \frac{54}{21} - \frac{56}{21} = \frac{54 - 56}{21} = \frac{-2}{21} \]

Conclusion

Thus,

\[ 2\frac{4}{7} - 2\frac{8}{12} = -\frac{2}{21} \]

This result indicates the answer is negative, meaning that \( 2\frac{4}{7} \) is less than \( 2\frac{8}{12} \).