Final answer:
To add fractions, find a common denominator, convert each fraction, and then add them. 4/7 + 6/11 is equal to 86/77 once converted to a common denominator of 77. This can be placed slightly right of 1 on a number line because 77/77 equals 1.
Step-by-step explanation:
To add the fractions 4/7 and 6/11, we first need to find a common denominator. The common denominator for 7 and 11 is their product, which is 77. Now, we convert each fraction to have this common denominator.
The fraction 4/7 is equivalent to (4×77) / (7×77), which simplifies to 44/77. Similarly, the fraction 6/11 is equivalent to (6×77) / (11×77), which simplifies to 42/77. Now, we add the two fractions:
44/77 + 42/77 = (44 + 42) / 77 = 86/77
This result can be plotted on a number line as a single point. The value of 86/77 is slightly more than 1, since 77/77 would be equal to 1. Therefore, on the number line, 86/77 would be found to the right of 1.