Question

Yolanda needs to walk a total of 13 miles this week. So far, she has walked 2 2/3 miles, Use the equation 2 2/3 + m = 13 to find out how many more miles she need to walk. Yolanda needs to walk _ more miles.

Answer 1

Yolanda has walked 2 2/3 miles and needs to walk 10 1/3 more miles to reach her 13-mile goal for the week.

Step-by-step explanation:

Yolanda needs to walk a total of 13 miles this week. So far, she has walked 2 2/3 miles. To determine how many more miles she needs to walk, we use the equation 2 2/3 + m = 13. First, we convert the mixed number to an improper fraction: 2 2/3 = 8/3. Now, we put this into the equation: 8/3 + m = 13. To solve for m, which represents the remaining miles, we subtract 8/3 from both sides of the equation:

• 13 - 8/3 = 39/3 - 8/3
• 31/3 = m

To convert this into a mixed number, we divide 31 by 3 which gives us 10 with a remainder of 1, so m = 10 1/3. Yolanda needs to walk 10 1/3 more miles to reach her goal of 13 miles this week.