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A tortoise walked 10 rac12 m on Monday, 8 rac14 m on Tuesday, 11 rac12 m on Wednesday, 9 rac12 m on Thursday, and 6 rac14 m on Friday. What was the total distance the tortoise walked in 5 days?

Mathematics

ScanSolve AI Answer

Answer

46 m\text{46 m}

Step-by-step solution

4 steps
  1. Identify the distance walked each day.

    The tortoise walked the following distances:

    • Monday: 101210\frac{1}{2} m
    • Tuesday: 8148\frac{1}{4} m
    • Wednesday: 111211\frac{1}{2} m
    • Thursday: 9129\frac{1}{2} m
    • Friday: 6146\frac{1}{4} m
  2. Add the whole number parts of the distances.

    Sum of whole numbers =10+8+11+9+6= 10 + 8 + 11 + 9 + 6

    10+8+11+9+6=4410 + 8 + 11 + 9 + 6 = 44
  3. Add the fractional parts of the distances.

    Sum of fractions =12+14+12+12+14= \frac{1}{2} + \frac{1}{4} + \frac{1}{2} + \frac{1}{2} + \frac{1}{4}
    To add these fractions, find a common denominator, which is 4.
    Convert 12\frac{1}{2} to 24\frac{2}{4}:

    24+14+24+24+14=2+1+2+2+14=84\frac{2}{4} + \frac{1}{4} + \frac{2}{4} + \frac{2}{4} + \frac{1}{4} = \frac{2+1+2+2+1}{4} = \frac{8}{4}

    Simplify the sum of fractions:

    84=2\frac{8}{4} = 2
  4. Combine the sum of the whole numbers and the sum of the fractions.

    Total distance =Sum of whole numbers+Sum of fractions= \text{Sum of whole numbers} + \text{Sum of fractions}
    Total distance =44+2=46= 44 + 2 = 46 m

    The tortoise walked a total of 46 meters in 5 days.

    The total distance the tortoise walked is 46 m\text{46 m}.

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