Joy 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

Joey was “blank” meters from home.

3 answers

To find Joey's distance from home, we need to subtract the distance he walked west from the distance he walked east.

15 2/3 - 21 3/4

To subtract mixed numbers, we need to convert them to improper fractions.

15 2/3 = (3 * 15 + 2)/3 = 47/3
21 3/4 = (4 * 21 + 3)/4 = 87/4

Now we can subtract the two fractions.

47/3 - 87/4

To subtract fractions, we need to find a common denominator, which in this case is 12.

(47/3)(4/4) - (87/4)(3/3)
= 188/12 - 261/12

Now we can subtract the numerators.

= (188 - 261)/12
= -73/12

Therefore, Joey was -73/12 meters from home.
Simplify -73/12 please.
To simplify -73/12, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

-73 ÷ 1 = -73
12 ÷ 1 = 12

Therefore, the simplified form of -73/12 is -73/12.