What is 8 3 4 percent expressed as a fraction


Asked by maham237 @ in Mathematics viewed by 293 People


8 3\4%

Answered by maham237 @



Answer: The answer is: " \frac{7}{80} " .

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Step-by-step explanation:

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Given: " 8 \frac{3}{4} % " ; Convert this to a "fraction" .

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Start with the: " 8 \frac{3}{4} " portion:

Start with the: " \frac{3}{4} " portion :

Note: " \frac{3}{4} " ;

= 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:

→ " \frac{3}{4} = \frac{?}{100} " ;

→ 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:

→ " \frac{3}{4} = \frac{?}{100} " ;

Rewrite as:

→ " \frac{3}{4} = \frac{75}{100} " ;

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Note: " \frac{75}{100} " ;

= 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 \frac{3}{4} " ;

= 8 + \frac{3}{4} ;

= 8 + 0.75 ;

= 8.75 .

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So: " 8 \frac{3}{4} % " ;

= 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 " = " \frac{875}{10,000} " ;

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= " \frac{7}{80} " .

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The answer is: " \frac{7}{80} " .

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Hope this is helpful to you!

Best wishes to you!

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