The answer is: " ⅔ kg" ; or, write as: " 0.6667 kg " .
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Explanation:
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Basically, we can reduce the question to:
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What is " ¼" of "2 ⅔ kg" ?
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→ (¼ * 2 ⅔) kg ; simplify the amount in "parentheses" ; & keep the units of "kg" (kilograms) ;
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Write " 2 ⅔ " as an "improper fraction" ;
→ To do so, multiply the "3" in the "denominator" (from the fraction, " ⅔ ") ;
by the "2" (from the whole number).
→ 3 * 2 = 6 .
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→ Then, take this value; in our case, "6" ; and the number "2" (from the "2" in the "numerator" (from the fraction portion, " ⅔ ").
→ 6 + 2 = 8 .
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→ Then, take this value, and write is as the "numerator" over a "new fraction" ; this "new fraction" is the: "improper fraction" . The "denominator" of this "new fraction" (i.e. "improper fraction") ; is the number from the "denominator" of the fraction portion of our [originally written "mixed number" ; which in our case is: "3" (from the fraction portion, " ⅔ ") .
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→ So, our mixed number, " 2 ⅔ " , can be written in the "improper fraction form" ; which is: " ⁸/₃ " .
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→ Put simply: " 2 ⅔ = [ (3*2) + 2 ] / 3 = (6 + 2) / 3 = 8/3 ; or, " ⁸/₃ " .
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→ We have: "(¼ * 2 ⅔) kg " .
→ Replace the: " 2 ⅔ " value with: " ⁸/₃ " ; to more easily simplify the expression in "parentheses" ; & to more easily solve the problem ;
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→ "(¼ * 2 ⅔) = [tex] \frac{1}{4} [/tex]*[tex] \frac{8}{3} [/tex] " ;
= ? ;
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→ We have: " [tex] \frac{1}{4} [/tex]*[tex] \frac{8}{3} [/tex] " ;
→ The "4" can be 'canceled out' to a "1" ;
and the "8" can be 'canceled out', and changed to a "2" ;
→ since: "(8÷4=2)" ; and since: "(4÷4=1)" .
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So now; we have: " [tex] \frac{1}{1} [/tex] * [tex] \frac{2}{3} [/tex] " ;
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→ The " [tex] \frac{1}{1} [/tex] " can be eliminated;
→ since: "(1÷1=1)" ;
→ {Note that any value, divided by "1", is equal that same value ;
& that "any non-zero value", divided by "that same value", is equal to "1" .
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→ As such: " [tex] \frac{1}{1} [/tex] " = {1÷1} = 1 ;
& this value, which is "1", multiplied by [the other expression], will be equal to that other expression;
since:
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→ [the other expression, which is a non-zero value] , multiplied by "1", is equal to [the SAME other expression, which is a non-zero value].
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→ As such, we can completely eliminate the: " [tex] \frac{1}{1} [/tex] " ;
and we are left with: " ⅔ " . The units are "kg" .
So; the answer is: " ⅔ kg" ;
Note: " ⅔ " = 2÷3 = 0.666666666666667 ;
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So; the answer is: " ⅔ kg" ; or, write as: 0.6667 kg .
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