The answer is 2/3 since 75% of 2/3 is 1/2. To solve for this, we can express 75% as a fraction or express 1/2 as a decimal then use the formula for finding the base which is B = P/R.
Solutions:
Solution #1:
Express 75% as a fraction which is the rate of percentage.
75% = 75/100 = 3/4
Using R = 3/4, solve for the base.
B = P/R
B = 1/2
3/4
B = 1/2 x 4/3 (reciprocal of 3/4)
B = 4/6
Express 4/6 in its lowest term.
4/6 ÷ 2/2 = 2/3
B = 2/3
Therefore, the base is 2/3 which will make the statement 75% of 2/3 = 1/2.
Solution #2:
Express 1/2 which is the percentage as a decimal.
1/2 = .5
Express also 75% which is the rate of percentage as a decimal.
75% = 75/100 = .75
Using P = .5 and R = .75, solve for the base.
B = P/R
B = .5/.75
B = .666666667 which is equivalent to 2/3 in fractions.
Answers & Comments
Verified answer
Rate, Base, and Percentage:
The answer is 2/3 since 75% of 2/3 is 1/2. To solve for this, we can express 75% as a fraction or express 1/2 as a decimal then use the formula for finding the base which is B = P/R.
Solutions:
Solution #1:
Express 75% as a fraction which is the rate of percentage.
75% = 75/100 = 3/4
Using R = 3/4, solve for the base.
B = P/R
B = 1/2
3/4
B = 1/2 x 4/3 (reciprocal of 3/4)
B = 4/6
Express 4/6 in its lowest term.
4/6 ÷ 2/2 = 2/3
B = 2/3
Therefore, the base is 2/3 which will make the statement 75% of 2/3 = 1/2.
Solution #2:
Express 1/2 which is the percentage as a decimal.
1/2 = .5
Express also 75% which is the rate of percentage as a decimal.
75% = 75/100 = .75
Using P = .5 and R = .75, solve for the base.
B = P/R
B = .5/.75
B = .666666667 which is equivalent to 2/3 in fractions.
Keywords: rate, base, percentage
How to find for the base: brainly.ph/question/93266
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