Convert the length 2 ' 10-3 / 4 " to its decimal equivalent in feet.

Prepare for the NCCER Instrument Technician Test with flashcards and multiple choice questions. Each question provides hints and explanations. Excel in your exam!

To convert a length expressed in feet and inches to its decimal equivalent in feet, it's essential to understand the relationship between inches and feet. There are 12 inches in one foot, so to find the decimal value, first, break down the measurement into feet and inches.

In this problem, the measurement is given as 2 feet, 10 and 3/4 inches.

  1. Convert the inches to feet:

    • The total number of inches is calculated by taking 10 inches and adding the additional 3/4 inch. To convert 3/4 inch to a decimal, you divide 3 by 4, yielding 0.75. So, 10 inches plus 0.75 inches equals 10.75 inches.
  2. Convert inches to feet:

    • To convert 10.75 inches to feet, divide 10.75 by 12 (since there are 12 inches in a foot): [ 10.75 \div 12 = 0.8958333 ] Rounding this gives approximately 0.896 feet.
  3. Total feet calculation:

    • Add the feet part (2 feet) to the
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