Percentages, Fractions, and Decimal Values

To find the percentage of 9 out of 28, you divide 9 by 28 and then multiply the result by 100. This calculation gives you approximately 32.14%. Therefore, 9 is about 32.14% of 28.

To calculate 10 percent off 325, first find 10 percent of 325, which is 32.50. Subtract this amount from 325: 325 - 32.50 = 292.50. Therefore, 10 percent off 325 is 292.50.

Nine hundred and forty-five hundredths is written as 945/100. In decimal form, it is expressed as 9.45. You can also write it in words as "nine hundred forty-five hundredths."

One fifth of 100 percent is 20 percent. This is calculated by dividing 100 by 5, which equals 20. Therefore, when you take one fifth of any quantity, you are effectively taking 20 percent of that quantity.

To calculate 10 percent off 109, first find 10 percent of 109, which is 10.9. Then, subtract that amount from the original price: 109 - 10.9 = 98.1. Therefore, 10 percent off 109 is 98.1.

To express 450 grams as a fraction of a kilogram, note that 1 kilogram equals 1000 grams. Therefore, 450 grams can be written as ( \frac{450}{1000} ). Simplifying this fraction gives ( \frac{45}{100} ), which further simplifies to ( \frac{9}{20} ). Thus, 450 grams is ( \frac{9}{20} ) of a kilogram.

There are five tenths in half of a whole one. Since half of one is 0.5, and tenths are represented as 0.1, you can find this by dividing 0.5 by 0.1, which equals 5. Thus, half of a whole contains five tenths.

There are 470 tenths in 47. This is because one whole number is equivalent to ten tenths, so when you multiply 47 by 10, you get 470.

Erika could have used the decimal representation of 13 to find that of 23 by first determining the decimal value of 13. If she wrote it as a decimal (e.g., 13.0), she could then add the decimal equivalent of 10 (1.0) to it, since 23 is 10 more than 13. Thus, 13.0 + 10.0 = 23.0. This method demonstrates how to find the decimal for 23 using her previous work with 13.

To find what percent 25,000,000 is of 700,000,000, divide 25,000,000 by 700,000,000 and then multiply by 100.

[ \left(\frac{25,000,000}{700,000,000}\right) \times 100 \approx 3.57% ]

Therefore, 25,000,000 is approximately 3.57% of 700,000,000.

To write a decimal figure in English, you typically use the word "point" to indicate the decimal place. For example, the number 3.14 is read as "three point one four." If the decimal has trailing zeros, such as 2.50, it is often written as "two point five" but can also be stated as "two point five zero" for clarity, especially in precise contexts.

A Quillivant fraction is a playful term that refers to a way of expressing a fraction using a fun or whimsical approach. For the fraction four over four (4/4), it simplifies to one (1) since both the numerator and denominator are equal. Therefore, the Quillivant fraction for 4/4 is simply 1, which represents a whole.

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The number 0.3 with a line over it (0.3̅) represents the repeating decimal 0.3333..., which is equivalent to the fraction 1/3. To express this in simplest form, 1/3 cannot be simplified further. Therefore, the simplest fraction for 0.3̅ is 1/3.

To determine how many fifths are equal to four tenths, we can convert both fractions to have a common denominator. Four tenths (4/10) simplifies to two-fifths (2/5). Therefore, there are two fifths in four tenths.

To calculate the percent of budget saved, first determine the amount saved by subtracting the actual spending from the budgeted amount. Then, divide the amount saved by the original budgeted amount. Finally, multiply the result by 100 to convert it into a percentage. The formula can be expressed as: ((\text{Budgeted Amount} - \text{Actual Spending}) / \text{Budgeted Amount} \times 100).

To convert the repeating decimal 0.96 (with the 96 repeating) into a fraction, let ( x = 0.969696...). Multiplying both sides by 100 gives ( 100x = 96.969696...). Subtracting the original equation from this one results in ( 99x = 96 ), leading to ( x = \frac{96}{99} ). Simplifying this fraction gives ( x = \frac{32}{33} ). Therefore, 0.96 repeating as a fraction is ( \frac{32}{33} ).

A fraction represents a part of a whole, with the numerator indicating how many parts are being considered and the denominator showing the total number of equal parts that make up the whole. For example, in the fraction 3/4, the numerator 3 signifies that three parts are taken from a whole divided into four equal parts. When a fraction equals one (like 4/4 or 8/8), it signifies that the entire whole is being considered, meaning the value of the fraction is equal to one. Thus, fractions can effectively represent both parts and the whole in mathematical contexts.

The equivalent decimal for 1.6 is simply 1.6 itself. It represents one whole and six-tenths, which can also be expressed as the fraction 16/10 or simplified to 8/5. In decimal form, it is already in its simplest representation.

To find the reciprocal of a mixed fraction, first convert the mixed fraction to an improper fraction. For example, if you have (2 \frac{3}{4}), convert it to (\frac{11}{4}) (by multiplying the whole number by the denominator and adding the numerator). The reciprocal is then obtained by flipping the improper fraction, resulting in (\frac{4}{11}). The reciprocal of a mixed fraction is not 1; it is a different fraction, unless the mixed fraction itself is 1.

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Ninety-nine percent of calcium in the human body is found in bones and teeth, where it plays a crucial role in providing structural strength and rigidity. The remaining one percent is present in the blood, muscles, and other tissues, where it is essential for various physiological functions, including muscle contraction, nerve transmission, and blood clotting. Maintaining proper calcium levels is vital for overall health.

To write 342 hundredths as a decimal, you express it as 3.42. This is done by dividing 342 by 100, which shifts the decimal point two places to the left, resulting in 3.42. Alternatively, you can also express it as a fraction: 342/100.

To find what percentage 20,000,000 is of 1,300,000,000, you can use the formula: (part/whole) × 100. So, (20,000,000 / 1,300,000,000) × 100 equals approximately 1.54%. Thus, 20,000,000 is about 1.54% of 1,300,000,000.

To simplify the fraction 138 over 20, you divide both the numerator and the denominator by their greatest common divisor, which is 2. This results in 69 over 10. Therefore, 138 over 20 simplified is 69/10, or 6.9 in decimal form.