⅝ as a decimal

In this section, you will learn how to convert fractions into decimals, with \( \dfrac{5}{8} \) as an example.

Once you get the concepts in place, you will also learn how to solve the practice interactive questions at the end of this lesson.

Check-out the interactive simulations to know more about the lesson and try your hand at solving a few interesting practice questions at the end of the page.

Lesson Plan

The fraction \( \dfrac{5}{8} \) is a proper fraction, as the numerator is less than the denominator.

It can be represented through the below-given diagram:

To convert the fraction \( \dfrac{5}{8} \) as a decimal number we use the following steps:

Step 1

Write the given fraction in long division format.

Here 8 is the divisor and 5 is the dividend.

Step 2

The long division is carried subsequently, which gives the output of \( \dfrac{5}{8} \) as a decimal.

As we see, division leaves remainder 0 giving a quotient 0.625

Hence \( \dfrac{5}{8} \) as a decimal is given as 0.625

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5/8 As a Decimal Number

\( \dfrac{5}{8} \) as a decimal point is given as 0.625

The fraction \( \dfrac{5}{8} \)  as a decimal rounded to two digits will be 0.63 The decimal number 0.625 lies between 0.62 and 0.63

The fraction \( \dfrac{5}{8} \) as a decimal number is 0.625 which can be converted from decimal to fraction in the following way:

\( \frac{5}{8} \) as Percent

To write any fraction as percent, just multiply the fraction by 100

\( \dfrac{5}{8} \times 100\)

The value of fraction can be written as \( \dfrac{500}{8}\)

The fraction \( \dfrac{500}{8} \) is simplified as \( \dfrac{125}{2} \) which can further be converted to a decimal.

The fraction \( \dfrac{5}{8} \) can be written as 62.5%

The fraction \( \dfrac{5}{8} \) can be expressed into percent in two ways:

• Method 1: Multiplying the fraction directly by 100
• Method 2: Converting the fraction to a decimal number and then multiplying it by 100

Method 1: Multiplying the fraction directly by 100

The fraction \( \dfrac{5}{8} \) is directly multiplied by 100, which gives 62.5%

Method 2: Converting the fraction to a decimal number and then multiplying it by 100

The fraction \( \dfrac{5}{8} \) is converted to decimal which gives the value 0.625

On multiplying the converted value to 100 we get,

\( 0.625 \times 100 = 62.5%\)

Example 2

 

 

Claire saw some statistical data that read that 85 out of 136 people prefer being awake at night than waking up early. Help her find the percentage of people who prefer waking up early in morning.

Solution

85 out of 136 people prefer being awake at night. This shows the fraction \( \dfrac{5}{8}\) prefers being awake at night.

The percentage of people who prefer being awake at night is given as,

\( \dfrac{5}{8} \times 100 = 62.5%\)

The percentage of people who prefer waking up early is given as,

\(100 - 62.5 = 37.5\)

\(\therefore\) 37.5% people prefer waking up early in morning.

Example 3

 

 

What will Valerie give the answer for below given questions?

1. \( \dfrac{5}{8} \)  as a decimal rounded off to two decimal places.
2. \( \dfrac{5}{8} \) as a decimal point expressed in percentage and its nearest rounded off value.

Solution

Valerie will solve the questions in the following way:

1. \( \dfrac{5}{8} \) as a decimal rounded off to two decimal places:

\( \dfrac{5}{8} \) can be written as a decimal as 0.625

Valerie knows 0.625 lies between 0.62 and 0.63. Any decimal number which ends in 5 gets rounded off to next higher number.

\( \dfrac{5}{8}\)  as a decimal rounded off to two decimal places gives value 0.63

Part 2: \( \dfrac{5}{8}\)  as a decimal point expressed in percentage and its nearest rounded off value.

The fraction \( \dfrac{5}{8}\) as a decimal point expressed in percentage is given as 62.5%

To round off this value to its nearest value, the value is rounded off to 63%, due to the presence of 5 in the end.

\(\therefore\) The answers given by Valerie will be: 1. 0.63 2. 63%

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