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Convert 4/25 into a decimal and percent.

This question aims to explain the concepts of fraction, decimal point, and percentage.

Expert Answer

A decimal is a fraction noted in a particular form. Rather than writing $\dfrac{3}{2}$, for instance, you can write $1.5$, where the $1$ is in the one place and the $5$ is in the tenths place. Decimal is derived from the Latin term Decimus, signifying tenth, from the source word Decem, or $10$. The decimal method, thus, has $10$ as its base. Decimal can likewise precisely direct to a number in the decimal design. As an adjective, decimal points to something corresponding to this numbering method. The decimal point, for instance, directs to the period that splits one place from the tenth place in decimal numbers.

A fraction is a number represented as a quotient where a numerator is divided by a denominator. In fractions, both are integers. A complicated fraction has a fraction in the numerator or denominator. In a right fraction, the numerator is smaller than the denominator. If the numerator is more significant, it is named an improper fraction and can also be noted as a mixed number. Any fraction can be noted in decimal format by maintaining the division of the numerator by the denominator. The outcome may finish at some point, or one or more digits may duplicate without end.

The phrase “percentage” was derived from the Latin word “per centum,” which indicates “by the hundred.” With $100$ as the denominator, percentages are fractions. In other words, it is the connection between part and whole where the weight of the whole is permanently taken as $100$.

For instance, if Sam achieved $40%$ marks in his math quiz, it means that he achieved $40$ marks out of $100$. It corresponds to $\dfrac{40}{100}$ in the fraction form and $40:100$ in representations of ratio. The percentage is expressed as a given part or portion in every hundred. It is a fraction with $100$ as the denominator and is characterized by the symbol “%“. Computing percentage means finding the allocation of a whole, in representations of $100$. The percentage can be found either by using the unitary method or by adjusting the denominator of the fraction to $100$. It must be stated that the second way of estimating the percentage is not operated in cases where the denominator is not a factor of $100$. The unitary method is used in such cases.

Percent is another word for telling hundredths. Accordingly, $1%$ is one-hundredth, which means $1% = \dfrac{1}{100} = 0.01$. The percentage procedure is used to estimate the claim of a whole in terms of $100$. Utilizing this formula, you can denote a number as a fraction of $100$. If you follow carefully, all the methods to get the percentage portrayed above can be easily computed by exploiting the formula given below:

\[Percetange \space=(\dfrac{Value}{Total \space Value}) \times 100\]

Multiplying $4$:

\[=\dfrac{4*4}{25*4}= \dfrac{16}{100}=0.16\]

\[=16\%\]

Numerical Answer

$\dfrac{4}{25}$ into a decimal is $0.16$, and the percentage is $16%$.

Example

Convert 2/50 into percent.

Multiplying $2$:

\[=\dfrac{2*4}{50*2}=\dfrac{4}{100}\]

\[=4\%\]

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