Question - Mixed Units Subtraction Calculation
mathsubtraction calculationmixed units subtractionmixed units conversionfeet yards inches conversion
Solution:
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 inchesFirst, convert the measurements:- 2 yards = 2 × 3 feet = 6 feet- 2 feet remains as is- 6 inches remains as isSo 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 isAdd these two to get the total inches for 1 foot 11 inches:- 12 inches + 11 inches = 23 inchesNow let's subtract 23 inches from 102 inches to get the solution:- 102 inches - 23 inches = 79 inchesFinally, 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 yardsThe final answer is:- 2 yards 0 feet 7 inches
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