What is 8 and 3/4% expressed as a fraction?
2 answers:
Answer:
Step-by-step 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.
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