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 $2$:

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

\[=4\%\]