What is the difference of the fractions? Use the number line to help find the answer.

Question

StartFraction 4 over 7 EndFraction minus StartFraction 10 over 7 EndFraction

A number line going from negative StartFraction 11 over 7 EndFraction to StartFraction 15 over 7 EndFraction in increments of StartFraction 1 over 7 EndFraction.
Negative 2
Negative StartFraction 6 over 7 EndFraction
StartFraction 6 over 7 EndFraction
2

Answer 1

To find the difference of the fractions \(\frac{4}{7} - \frac{10}{7}\), we can follow the steps below:

1. Common Denominator: Since both fractions have the same denominator (7), we can simply subtract the numerators: \[ \frac{4}{7} - \frac{10}{7} = \frac{4 - 10}{7} = \frac{-6}{7} \]

2. Result: The result of the subtraction is \(\frac{-6}{7}\).

Visualizing on a Number Line

Now, if you were to visualize this on a number line ranging from \(-\frac{11}{7}\) to \(\frac{15}{7}\):

• \(-\frac{6}{7}\) would be located just slightly to the left of 0 (because \(-\frac{6}{7}\) is between \(-1\) and 0).

Conclusion

The answer to the subtraction \(\frac{4}{7} - \frac{10}{7}\) is: \[ \text{Negative } \frac{6}{7} \] This corresponds to one of the answer options given.