Mixed Units Subtraction Calculation
The subtraction problem given is in mixed units (yards, feet, and inches) and it asks to subtract 1 foot 11 inches from 2 yards 2 feet 6 inches. To solve this, let's first convert everything to inches for uniformity.
Recall that:
- 1 yard = 3 feet
- 1 foot = 12 inches
First, convert the measurements:
- 2 yards = 2 × 3 feet = 6 feet
- 2 feet remains as is
- 6 inches remains as is
So the total for 2 yards 2 feet 6 inches in inches is:
- 6 feet + 2 feet = 8 feet
- 8 feet × 12 inches/foot = 96 inches
- Add the 6 inches to 96 inches to get a total of 102 inches.
Now, let's convert 1 foot 11 inches to inches:
- 1 foot = 12 inches
- 11 inches remains as is
Add these two to get the total inches for 1 foot 11 inches:
- 12 inches + 11 inches = 23 inches
Now let's subtract 23 inches from 102 inches to get the solution:
- 102 inches - 23 inches = 79 inches
Finally, convert 79 inches back to yards, feet, and inches:
- 79 inches ÷ 12 inches/foot = 6 feet with 7 inches remainder (since 79 = 6 × 12 + 7)
- 6 feet can be represented as 2 yards because 6 feet ÷ 3 feet/yards = 2 yards
The final answer is:
- 2 yards 0 feet 7 inches