Convert 62.5% to a fraction, reduced to lowest terms.(1 point)
62.5% can be written as a fraction by dividing it by 100:
62.5% = 62.5/100
To simplify this fraction to lowest terms, we can divide both the numerator and the denominator by 2:
62.5/100 = (62.5 ÷ 2) / (100 ÷ 2) = 31.25/50
This cannot be simplified any further since the numerator and denominator do not have any common factors other than 1. Thus, 62.5% as a fraction in lowest terms is 31.25/50.
that was wrong is there any other way to do it
I apologize. Let's try another way to convert 62.5% to a fraction in its lowest terms.
To convert a percentage to a fraction, we can use the fact that percent means "per hundred." Therefore, 62.5% can be written as 62.5 per hundred.
Writing this as a fraction, we get:
62.5/100
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 12.5:
62.5 ÷ 12.5 / 100 ÷ 12.5 = 5/8
Therefore, 62.5% as a fraction in its lowest terms is 5/8.
Convert 0.6¯¯¯ to a fraction, reduced to lowest terms.(1 point)
To convert the repeating decimal 0.6¯¯¯ to a fraction, we can use the concept of repeating decimals. Let's denote the repeating part as x:
0.6¯¯¯ = x
To remove the repeating part, we can multiply both sides of the equation by a power of 10 that is equal to the number of repeating digits. Since there is only one repeating digit in 0.6¯¯¯, we can multiply both sides by 10:
10 * 0.6¯¯¯ = 10x
6.¯¯¯ = 10x
Now, let's subtract the original equation from the multiplied equation:
10x - x = 6.¯¯¯ - 0.6¯¯¯
9x = 6
Next, divide both sides of the equation by 9 to solve for x:
9x/9 = 6/9
x = 6/9
To reduce this fraction to its lowest terms, we can divide both the numerator and the denominator by their greatest common factor, which is 3:
(6 ÷ 3) / (9 ÷ 3) = 2/3
Thus, 0.6¯¯¯ as a fraction in lowest terms is 2/3.
Convert 0.45¯¯¯¯¯ to a fraction.(1 point)
To convert the repeating decimal 0.45¯¯¯ to a fraction, we can use the concept of repeating decimals. Let's denote the repeating part as x:
0.45¯¯¯ = x
To remove the repeating part, we can multiply both sides of the equation by a power of 10 that is equal to the number of repeating digits. Since there are two repeating digits in 0.45¯¯¯, we can multiply both sides by 100:
100 * 0.45¯¯¯ = 100x
45.¯¯¯ = 100x
Now, let's subtract the original equation from the multiplied equation:
100x - x = 45.¯¯¯ - 0.45¯¯¯
99x = 45
Next, divide both sides of the equation by 99 to solve for x:
99x/99 = 45/99
x = 45/99
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common factor, which is 9:
(45 ÷ 9) / (99 ÷ 9) = 5/11
Thus, 0.45¯¯¯ as a fraction is 5/11.
Convert 0.01 to a percentage.
To convert a decimal to a percentage, we multiply it by 100.
0.01 * 100 = 1
Therefore, 0.01 as a percentage is 1%.