Answer: The answer is: " [tex]\frac{7}{80}[/tex] " .
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Step-by-step explanation:
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Given: " 8 [tex]\frac{3}{4}[/tex] % " ; Convert this to a "fraction" .
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Start with the: " 8 [tex]\frac{3}{4}[/tex] " portion:
Start with the: " [tex]\frac{3}{4}[/tex] " portion :
Note: " [tex]\frac{3}{4}[/tex] " ;
= 3/4 ;
= 3 ÷ 4 ; {use calculator} ;
= 0.75 .
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Or; recognize, from experience, that: "3/4" = " 0.75 " .
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Or: Calculate as follows:
→ " [tex]\frac{3}{4}[/tex] = [tex]\frac{?}{100}[/tex] " ;
→ Solve for the: "(?)" value:
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Consider the "denominator" portions:
→ " 4 * {what value?} = 100 " ;
→ 100/4 = 100 ÷ 4 = 25 ;
→ So: " 4 * {25} = 100 ;
Now, consider the "numerator" portions:
→ " 3 * {25} = "{?}" ;
→ " 3 * {25} = " 75 " ;
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Now, we can rewrite the expression;
& replace the "{?}" — with: " 75 " ; as follows:
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The original expression:
→ " [tex]\frac{3}{4}[/tex] = [tex]\frac{?}{100}[/tex] " ;
Rewrite as:
→ " [tex]\frac{3}{4}[/tex] = [tex]\frac{75}{100}[/tex] " ;
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Note: " [tex]\frac{75}{100}[/tex] " ;
= 75 / 100 = 75 ÷ 100 ;
→ Use calculator: = 0.75 ;
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Or: 75 ÷ 100 = ? ;
→ Note: when dividing by "100" ; we take the original value, and move that number backward "2 (two) decimal spaces". We move "backward" because we are "dividing" (not "multiplying") ; and we move 2 (two) decimal spaces because: " 100" has 2 (two) zeros.
→ " 75 ÷ 100 = 75. ÷ 100 = .75 ;
→ Write as: " 0.75.
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So: " 8 [tex]\frac{3}{4}[/tex] " ;
= 8 + [tex]\frac{3}{4}[/tex] ;
= 8 + 0.75 ;
= 8.75 .
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So: " 8 [tex]\frac{3}{4}[/tex] % " ;
= 8.75 % ;
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Note that " % " ; refers to parts per hundred; or: "divided by 100" ;
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→ So: " 8.75 % " ;
= 8.75 / 100 = 8.75 ÷ 100 ;
→ Use calculator; to get: " 0.0875 " .
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Or: " 8.75 ÷ 100 " ; → As aforementioned, when dividing by "100" ;
we move the decimal point "backward 2 (two) spaces:
→ " 8.75 ÷ 100 = .0875 ;
→ Write as: " 0.0875 " .
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Now, let us convert this value to a "fraction value" ;
→ We have: " 0.0875 ;
We look at the last consecutive non-zero digits: "875" .
→ How many decimal spaces backward from "875" ; specifically, the digit, "5" ; are there (counting backward; to the actual decimal point)?
→ 0.0875 . → The answer is: "4 (four)" ; which are: 5, 7, 8, and 0 " .
{Refer to digits in "bold font".}.
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So, this value: " 0.0875 " ;
→ is equal to: " 875 " ÷ { 1 followed by 4 [four] zeros } ;
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= " 875 ÷ 10000 " ;
= " 875 ÷ 10,000 " ;
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Using a calculator:
" 875 ÷ 10,000 " = " [tex]\frac{875}{10,000}[/tex] " ;
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= " [tex]\frac{7}{80}[/tex] " .
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The answer is: " [tex]\frac{7}{80}[/tex] " .
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Hope this is helpful to you!
Best wishes to you!
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