59.8k views
6 votes
What is 8 and 3/4% expressed as a fraction?

User Patbarron
by
6.4k points

2 Answers

4 votes

Answer:


(7)/(80)

Explanation:

Note:

= 3/4

= 3 ÷ 4 {use calculator}

0.75

Rewrite as:

3/4=75/100

Note: 75/100

= 75 / 100 = 75 ÷ 100

→ Use calculator: = 0.75

75 ÷ 100 = ? ;

→ 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.

Therefore, 8 3/4=8+3/4=8+.75=8.75

Hence, 8 3/4=8.75.

Key: that " % " refers to parts per hundred; or: "divided by 100".

So: " 8.75 % " ;

= 8.75 / 100 = 8.75 ÷ 100

→ Use calculator to get: " 0.0875 "

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 " .

So, this value: " 0.0875 " ;

→ is equal to: = " 875 ÷ 10000 " = " 875 ÷ 10,000 "

Using a calculator:

" 875 ÷ 10,000 " = 7/80

Hence, the answer is 7/80.

User Klinger
by
6.6k points
12 votes

Answer:

I believe it is 8 and 75/100.

Explanation:

User Yriuns
by
6.8k points
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