Percentages, Fractions, and Decimal Values

To convert the repeating decimal (0.80\overline{80}) to a fraction, let (x = 0.808080...). Multiplying both sides by 100 (to shift the decimal point two places to the right), we get (100x = 80.808080...). Now, subtract the original equation from this one: (100x - x = 80.808080... - 0.808080...), which simplifies to (99x = 80). Thus, (x = \frac{80}{99}), so (0.80\overline{80} = \frac{80}{99}).

The decimal -2.16666667 can be expressed as a fraction by recognizing that the repeating part is 0.16666667, which is equivalent to ( \frac{1}{6} ). Therefore, -2.16666667 can be written as ( -2 - \frac{1}{6} ), or ( -\frac{12}{6} - \frac{1}{6} = -\frac{13}{6} ). Thus, -2.16666667 as a fraction is ( -\frac{13}{6} ).

Approximately 70 percent of Mexico City's water comes from aquifers located beneath the city. These underground water sources are replenished by rainfall and surface water, but rapid urbanization and over-extraction have led to significant challenges, including depletion and contamination. Additionally, the city's geography and infrastructure struggles exacerbate water distribution issues. As a result, managing this vital resource has become a pressing concern for local authorities.

In the Scottish National 5 examinations, an A grade is awarded to students who achieve a score of 70% or higher. This grading system reflects a standard that indicates a high level of understanding and proficiency in the subject matter.

There are 529.6 hundredths in 5.296. This is because 5.296 can be expressed as 529.6 when multiplied by 100, indicating the number of hundredths. Thus, 5.296 has 529 full hundredths and an additional 0.6 of a hundredth.

The decimal 1.333333333 can be expressed as a mixed number by recognizing that it consists of 1 whole and a repeating fraction. Specifically, 0.333333333 is equivalent to the fraction ( \frac{1}{3} ). Therefore, 1.333333333 as a mixed number is ( 1 \frac{1}{3} ).

Triamcinolone acetonide cream 0.1 percent is a topical corticosteroid used to reduce inflammation, redness, and itching associated with various skin conditions, such as eczema, psoriasis, and dermatitis. It works by suppressing the immune response and decreasing the production of inflammatory substances in the skin. This medication is typically applied to the affected area as directed by a healthcare provider. It's important to use it as prescribed to minimize potential side effects.

Nine and four hundred thirteen ten-thousandths as a decimal is 9.0413. This is obtained by writing the whole number nine followed by a decimal point and then adding the fraction four hundred thirteen ten-thousandths as 0.0413.

The income threshold for the top two percent can vary significantly based on location and economic conditions. In the United States, as of 2023, households typically need to earn around $250,000 or more annually to be in the top two percent. However, this figure can differ in urban areas or regions with higher living costs. It's advisable to consult current statistics or economic reports for the most accurate and localized figures.

MgKPO4, or magnesium potassium phosphate, is a chemical compound that contains magnesium (Mg), potassium (K), and phosphate (PO4) ions. It is often used in fertilizers and dietary supplements due to its nutrient content. This compound can aid in plant growth by providing essential minerals and is also studied for its potential health benefits in human nutrition. Its specific applications can vary depending on its form and concentration.

To find the sum of two and three tenths (2.3) and three and five tenths (3.5), you simply add the two numbers together: 2.3 + 3.5 = 5.8. Thus, the sum is five and eight tenths, or 5.8.

To calculate 21.4 percent of 855, you multiply 855 by 0.214:

[ 855 \times 0.214 = 182.97. ]

Therefore, 21.4 percent of 855 is approximately 182.97.

To find the percentage, divide the part (37) by the whole (50) and then multiply by 100.

[ \text{Percentage} = \left( \frac{37}{50} \right) \times 100 = 74% ]

Therefore, 37 out of 50 is equivalent to 74%.

To convert the decimal 10.5 into a fraction, first recognize that it can be expressed as (10.5 = 10 + 0.5). The decimal 0.5 is equivalent to the fraction (\frac{1}{2}). Therefore, you can write (10.5) as (10 + \frac{1}{2} = \frac{20}{2} + \frac{1}{2} = \frac{21}{2}). Thus, (10.5) in fraction form is (\frac{21}{2}).

Approximately 60% of Russians consume alcohol in some form, with varying frequency and amounts. However, the prevalence of heavy drinking and binge drinking is a significant concern, contributing to public health issues. Alcohol consumption patterns can differ widely across regions and demographics within the country.

To find the decimal of a shaded part in a shape, first determine the total area of the shape and the area of the shaded part. Divide the area of the shaded part by the total area to get a fraction. Finally, convert that fraction to a decimal by performing the division, yielding the decimal representation of the shaded portion. For example, if the shaded area is 3 square units and the total area is 10 square units, the decimal would be 0.3 (3 divided by 10).

To simplify the fraction 36 over 102, we need to find the greatest common divisor (GCD) of 36 and 102, which is 18. Dividing both the numerator and the denominator by 18 gives us 2 over 5. Therefore, 36 over 102 simplified is ( \frac{2}{5} ).

To determine if the ratios 49 out of 70 and 35 out of 50 are equal, we can simplify both. The ratio 49/70 simplifies to 7/10, while 35/50 simplifies to 7/10 as well. Since both ratios simplify to the same fraction, they are indeed equal ratios.

Sixty hundredths can be expressed as a fraction, which is 60/100. To convert this fraction to a percentage, you multiply by 100, resulting in 60%. Therefore, sixty hundredths is equal to 60%.

To calculate the percentage error of a thermometer, first determine the difference between the measured temperature and the true or accepted value. This difference is then divided by the true value and multiplied by 100 to convert it into a percentage. The formula is:

[ \text{Percentage Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100 % ]

This gives you the percentage error, which indicates how accurate the thermometer's measurement is compared to the true value.

When dividing by a decimal, you can multiply both the divisor and the dividend by the same power of 10 to eliminate the decimal point. This process keeps the value of the fraction the same because you are effectively scaling both numbers equally. For example, if you have 4.5 ÷ 0.3 and multiply both by 10, it becomes 45 ÷ 3, simplifying the division. This method makes it easier to perform the calculation without changing the ratio of the two numbers.

To calculate the future value of $100 in 15 years with a 6% annual return, you can use the formula for compound interest: ( A = P(1 + r)^n ), where ( A ) is the amount of money accumulated after n years, ( P ) is the principal amount, ( r ) is the annual interest rate, and ( n ) is the number of years. Plugging in the values, ( A = 100(1 + 0.06)^{15} ), which equals approximately $241.97. Therefore, $100 will grow to about $241.97 in 15 years at a 6% return.

To convert 5.12 to a percent, you multiply it by 100. This gives you 512%. Therefore, 5.12 as a percent is 512%.

The number 81,000 is already in decimal form. It represents the value eighty-one thousand, which is expressed as 81 followed by three zeros. In numerical notation, it can be written as 81,000.

To find what percent 719 is of 803, you can use the formula: (part/whole) × 100. So, (719/803) × 100 ≈ 89.6%. Therefore, 719 is approximately 89.6% of 803.