Barbara ran 2/8 of a mile before lunch and 3/12 of a mile after lunch. How far did she run in all? Explain how you got that answer.
To find the total distance that Barbara ran, we need to add the distances she ran before and after lunch.
Before lunch, Barbara ran 2/8 of a mile. Since the denominator is the same for both fractions (8), we can add the numerators: 2 + 3 = 5.
After lunch, Barbara ran 3/12 of a mile. Since the denominator is the same for both fractions (12), we can add the numerators: 5 + 3 = 8.
Therefore, Barbara ran a total of 8/8 of a mile. Since 8/8 is equal to 1, we can conclude that Barbara ran 1 mile in total.