To rename percentages as fractions, you simply write the percentage as a fraction with a denominator of 100. To rename fractions as percentages, you divide the numerator by the denominator and multiply by 100. Let's go through each example:
1. 1/10: To rename 1/10 as a percentage, we divide 1 by 10 and multiply by 100.
Calculation: (1 ÷ 10) x 100 = 10%
So, 1/10 can be renamed as 10%.
2. 40%: To rename 40% as a fraction, we write 40 as the numerator and 100 as the denominator.
Answer: 40/100 reduces to 2/5.
So, 40% can be rewritten as 2/5.
3. 66 2/3%: To rename 66 2/3% as a fraction, we write 66 2/3 as a decimal first, and then as a fraction.
Calculation: 66 2/3% = 66.67% = 66.67/100
Answer: 66 2/3% can be rewritten as 66 2/3/100, but it is more commonly expressed as a decimal (0.6667) or a fraction (66.67/100).
4. 8/4: To rename 8/4 as a percentage, we divide 8 by 4 and multiply by 100.
Calculation: (8 ÷ 4) x 100 = 200%
So, 8/4 can be renamed as 200%.
5. 125%: To rename 125% as a fraction, we write 125 as the numerator and 100 as the denominator.
Answer: 125/100 reduces to 5/4.
So, 125% can be rewritten as 5/4.
6. 2/25: To rename 2/25 as a percentage, we divide 2 by 25 and multiply by 100.
Calculation: (2 ÷ 25) x 100 = 8%
So, 2/25 can be renamed as 8%.