Question

Perform the indicated operations. a) 19 ft 4 in + 7 ft 6 in = Ft In

Answer 1

The answer is:  " 26 ft plus 10 inches " .

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or: expressed as units of "feet" (ft.)—only:

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→  " 26 $\frac{5}{6}$  ft. " ;  or, write in decimal form:  " 26 .583 ft. " ;

         or:  expressed as units of "inches" (in.)—only:

               →  "  322 in " .

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Step-by-step explanation:

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Note: The exact conversion:

" 12 in. = 1 ft. " .

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Note:  

→ "in." stands for "inch" [one "inch" or fewer];

                     or; "inches" [plural form of "inch"]; [more than once "inch".] ;

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         "ft" stands for "foot" [one "foot" or fewer]'

                      or; "feet" [plural form of "foot"]; [more than one "foot".].

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Note:  These are measurement of "length" or "distance"; including "width" and "height".

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Given:  "19 ft 4 in + 7 ft 6 in. " ;

Find the sum:  

[expressed as:

  units of "ft." (feet) and units of "in." (inches).].

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Note: "19 ft 4 in" ; is one way of saying "19 ft. Plus 4 in." —referring to a value that is fewer than "20 feet" .

Likewise:  "7 ft 6 in" is one way of saying "7 ft plus 6 in." —referring to a value that is fewer than "8 ft." .

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{Note of interest:  "6 in. = 0.5 ft. = $\frac{1}{2}$ ft." ;

          since:  "12 in. = 1 ft." ;

   and since:  " $\frac{12 in}{2} = (\frac{12}{2})$ in. $= 6$ in. ;

→ So: " 7 ft 6 in = 7 ft plus 6 in. = 7 ft + $\frac{1}{2}$ ft = $7\frac{1}{2}$ ft ; or write as: " 7.5 ft."}.

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Back to the problem given:

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→  " 19 ft 4 in + 7 ft 6 in " ;

         =  19 ft + 4 in + 7 ft + 6 in ;

      →  Now; we can combine the "like terms":

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 →  19 ft + 7 ft = 26 ft. ;

 →  4 in + 6 in. = 10 in. ;

Note:  " 10 in. " ;  is fewer than "12 in" ;

                          {i.e., is fewer than "1 ft."} ;

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So;  we can write our simplified value as:

           →  " 26 ft. 10 in."

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The problem does not specify if we are to solve for:

1)  The simplified value in "{maximum number of feet ; Plus the [remaining value expressed as  inches{" ; which would be:  

  →  " 26 ft. 10 in." ;  [^ see above] ;

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or:

2) The total value expressed as "ft." ["feet"], only;  And:

   The total value expressed as "in." ["inches"],  only ;

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which is fine—so we shall obtain those 2 (two) values—as well!

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We have: " 26 ft plus 10 inches ".

→ To convert this value to units of "ft." ["feet"] only:

Note that "10 inches" = " $\frac{10}{12}$ ft" ;

So:  " 26 ft plus 10 inches = 26 $\frac{10}{12}$ ft. " ;

Note: We can reduce the fraction value;

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→  " $\frac{10}{12} = \frac{(10/2)}{(12/2)}=\frac{5}{6}$ " ;

→  So; " 26 $\frac{10}{12}$ ft " ;

   =  " 26 $\frac{5}{6}$  ft. " ;

Or; using calculator, write in decimal form:

 26 + (5 ÷ 6) ft. = ? ;  

 →   " 26 .583 ft. " ;

Source:  <<Web2.0 Online Scientific Calculator>>.

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To solve for the value in inches:

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→  " (26 $\frac{5}{6}$ ft) *($\frac{12 in}{1 ft}$) " ;

→  The units of:  "ft." cancel out to "1" ; [since: " ft / ft = 1".];

     →  and we have:  " (26 $\frac{5}{6}$ )*(12 in) "  =  " 322 in. "

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→ Let's check part of our answer:

→  " (322 in.) ÷ 12 ≟ 26.58333333......... ??? " ;

Using calculator:  <<Source: Web2.0 Online Scientific Calculator>> :

      →  " 322 ÷ 12 = 26.583333333333333..... " ; Yes!

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Hope this is helpful!

Wishing you well in your academic endeavors!

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Answer 2

Answer:

26 ft 10 in

Step-by-step explanation:

6+4=10

19+7=26