Respuesta :
Answer: The correct answer is: " 0.6825 ".
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Step-by-step explanation:
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We are asked to convert: " 68 [tex]\frac{1}{4}[/tex] % " ; to a "decimal" .
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1) Rewrite: " 68 [tex]\frac{1}{4}[/tex] " ; as a "decimal value" :
" 68 [tex]\frac{1}{4}[/tex] " = 68 + [tex]\frac{1}{4}[/tex] ;
→ " [tex]\frac{1}{4}[/tex] " = 1 / 4 = 1 ÷ 4 = 0.25 . (use calculator).
Or: → " [tex]\frac{1}{4}[/tex] " = " [tex]\frac{?}{100}[/tex] " ;
→ Find the "?" value:
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Let us consider the "denominators" ;
→ 4 * (what value) = 100 :
→ 100/ 4 = 100 ÷ 4 = 25 .
So: 4 * 25 = 100;
So, to find the "?" value in the numerator:
→ 1 * 25 = ("?") ;
→ 1 * 25 = 25 ;
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So, we have:
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→ " [tex]\frac{1}{4}[/tex] " = " [tex]\frac{?}{100}[/tex] " ;
Rewrite; and replace the "?" value with our know value: " 25 " :
→ " [tex]\frac{1}{4}[/tex] " = " [tex]\frac{25}{100}[/tex] " ;
Note that: " [tex]\frac{25}{100}[/tex] " ;
= 25/100 = 25 ÷ 100 = 0.25 . {Use calculator.}.,
Or: 25 ÷ 100 = ? ;
→ When dividing by "100" ; we take the number; and move the decimal point back 2 (two) spaces; since "100" has 2 (two) zeros.
→ 25 ÷ 100 = 25. ÷ 100 = .25;
→ write as: " 0.25" .
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So: " 68 [tex]\frac{1}{4}[/tex] " = 68 + 0.25 = 68.25 .
As such: " 68 [tex]\frac{1}{4}[/tex] % " = 68.25 % ;
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Now, we write: " 68.25 % " as a decimal ;
Note: " % " ; or "percent" ; means "per hundred" ; or "parts per hundred" ;
or; "divide by 100" ;
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So; to write: " 68.25 % " as a decimal ;
→ " 68.25 ÷ 100 " = 0.6825 . {← Use calculator.}.
Or: → 68.2 ÷ 100 = ? ;
→ When dividing by "100" ; we take the number; and move the decimal point back 2 (two) spaces; since "100" has 2 (two) zeros.
→ " 68.25 ÷ 100 " ÷ 100 = .6825 ;
→ write as: " 0.6825 " .
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The answer is: " 0.6825 " .
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Hope this answer is helpful to you!
Wishing you the best in your academic pursuits
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