Question

Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home? Write your answer as a mixed number only.(1 point)

Answer 1

To find out how far Joey was from home, we need to find the difference between the distance he walked east and the distance he walked west.

First, let's convert the distances walked into mixed numbers:
15 2/3 = 15 + 2/3 = 15 6/6 + 2/3 = 15 12/6 + 2/3 = 15 24/6 + 2/3 = 15 26/6

21 3/4 = 21 + 3/4 = 21 3/4

Now let's subtract the distance walked west from the distance walked east:
15 26/6 - 21 3/4

To subtract mixed numbers, we need to have a common denominator:
Since 6 is already common, we just have to find a common denominator for 6 and 4, which is 12.

Rewriting the mixed numbers with the common denominator of 12:
15 26/6 = 15 52/12
21 3/4 = 21 9/12

Now we can subtract the fractions:
15 52/12 - 21 9/12 = 15 - 21 + 52/12 - 9/12 = -6 + 43/12

Since the result is negative, it means Joey is 6 - 43/12 meters away from home.

To write this as a mixed number, we have to rewrite the result as a mixed number by dividing the numerator by the denominator:
43 ÷ 12 = 3 remainder 7

So Joey is 6 - 3 7/12 meters away from home.

Therefore, Joey is 6 and three-sevenths meters away from home.