Rename the following fraction form into decimal form write your answer in your notebook

In converting fractions to decimals, we know that decimals are fractions with denominators 10, 100, 1000 etc. In order to convert other fractions into decimals, we follow the following steps:

Step I: Convert the fraction into an equivalent fraction with denominator 10 or 100 or 1000 if it is not so.

Step II: Take the given fraction’s numerator. Then mark the decimal point after one place or two places or three places from right towards left if the given fraction’s denominator is 10 or 100 or 1000 respectively.

Note that; insert zeroes at the left of the numerator if the numerator has fewer digits.

● To convert a fraction having 10 in the denominator, we put the decimal point one place left of the first digit in the numerator.

For example:

(i) $\frac{6}{10}$ = .6 or 0.6

(ii) $\frac{16}{10}$ = 1.6

(iii) $\frac{116}{10}$ = 11.6

(iv) $\frac{1116}{10}$ = 111.6

● To convert a fraction having 100 in the denominator, we put the decimal point two places left of the first digit in the numerator.

For example:

(i) $\frac{7}{100}$ = 0.07

(ii) $\frac{77}{100}$ = 0.77

(iii) $\frac{777}{100}$ = 7.77

(iv) $\frac{7777}{100}$ = 77.77

● To convert a fraction having 1000 in the denominator, we put the decimal point three places left of the first digit in the numerator.

For example:

(i) $\frac{9}{1000}$ = 0.009

(ii) $\frac{99}{1000}$ = 0.099

(iii) $\frac{999}{1000}$ = 0.999

(iv) $\frac{9999}{1000}$ = 9.999

The problem will help us to understand how to convert fraction into decimal.

In $\frac{351}{100}$ we will change the fraction to decimal.

First write the numerator and then divide the numerator by denominator and complete the division.

Put the decimal point such that the number of digits in the decimal part is the same as the number of zeros in the denominator.

$Rename the following fraction form into decimal form write your answer in your notebook$

Let us check the division of decimal by showing a complete step by step decimal divide.

$Rename the following fraction form into decimal form write your answer in your notebook$

We know that when the number obtained by dividing by the denominator is the decimal form of the fraction.

There can be two situations in converting fractions to decimals:

• When division stops after a certain number of steps as the remainder becomes zero.

• When division continues as there is a remainder after every step.

Here, we will discuss when the division is complete.

Explanation on the method using a step-by-step example:

• Divide the numerator by denominator and complete the division.

• If a non-zero remainder is left, then put the decimal point in the dividend and the quotient.

• Now, put zero to the right of dividend and to the right of remainder.

• Divide as in case of whole number by repeating the above process until the remainder becomes zero.

1. Convert $\frac{233}{100}$ into decimal.

Solution:

$Rename the following fraction form into decimal form write your answer in your notebook$

2. Express each of the following as decimals.

(i) $\frac{15}{2}$

Solution:

$\frac{15}{2}$

= $\frac{15 × 5}{2 × 5}$

= $\frac{75}{10}$

= 7.5

(Making the denominator 10 or higher power of 10)

(ii) $\frac{19}{25}$

Solution:

$\frac{19}{25}$

= $\frac{19 × 4}{25 × 4}$

= $\frac{76}{100}$

= 0.76

(iii) $\frac{7}{50}$

Solution:

$\frac{7}{50}$ = $\frac{7 × 2}{50 × 2}$ = $\frac{14}{100}$ = 0.14

Note:

Conversion of fractions into decimals when denominator cannot be converted to 10 or higher power of 10 will be done in division of decimals.

$Rename the following fraction form into decimal form write your answer in your notebook$

Examples on Conversion of Fractions into Decimal Numbers:

Express the following fractions as decimals:

1. $\frac{3}{10}$

Solution:

Using the above method, we have

$\frac{3}{10}$

= 0.3

2. $\frac{1479}{1000}$

Solution:

$\frac{1479}{1000}$

= 1.479

3. 7$\frac{1}{2}$

Solution:

7$\frac{1}{2}$

= 7 + $\frac{1}{2}$

= 7 + $\frac{5 × 1}{5 × 2}$

= 7 + $\frac{5}{10}$

= 7 + 0.5

= 7.5

4. 9$\frac{1}{4}$

Solution:

9$\frac{1}{4}$

= 9 + $\frac{1}{4}$

= 9 + $\frac{25 × 1}{25 × 4}$

= 9 + $\frac{25}{100}$

= 9 + 0.25

= 9.25

5. 12$\frac{1}{8}$

Solution:

12$\frac{1}{8}$

= 12 + $\frac{1}{8}$

= 12 + $\frac{125 × 1}{125 × 8}$

= 12 + $\frac{125}{1000}$

= 12 + 0.125

= 12.125

Practice Problems on Converting Fractions to Decimals:

1. Convert the following fractional numbers to decimal numbers:

(i) $\frac{7}{10}$

(ii) $\frac{23}{100}$

(iii) $\frac{172}{100}$

(iv) $\frac{4905}{100}$

(v) $\frac{9}{1000}$

(vi) $\frac{84}{1000}$

(i) $\frac{672}{1000}$

(i) $\frac{4747}{1000}$

Answers:

(i) 0.7

(ii) 0.23

(iii) 1.72

(iv) 49.05

(v) 0.009

(vi) 0.084

(i) 0.672

(i) 4.747

$Rename the following fraction form into decimal form write your answer in your notebook$

In 5th Grade Decimals Worksheet contains various types of questions on operations on decimal numbers. The questions are based on formation of decimals, comparing decimals, Converting Fractions to Decimals, Addition of decimals, subtraction of decimals, multiplication of
$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

We will practice the questions given in the worksheet on multiplication of decimal fractions. While multiplying the decimal numbers ignore the decimal point and perform the multiplication as usual and then put the decimal point in the product to get as many decimal places in
$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

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$Rename the following fraction form into decimal form write your answer in your notebook$

The working rule of multiplication of a decimal by 10, 100, 1000, etc... are: When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier.
$Rename the following fraction form into decimal form write your answer in your notebook$

We will practice the questions given in the worksheet on subtraction of decimal fractions. While subtracting the decimal numbers convert them into like decimal then subtract as usual ignoring decimal point and then put the decimal point in the difference directly under the
$Rename the following fraction form into decimal form write your answer in your notebook$

We will practice the questions given in the worksheet on addition of decimal fractions. While adding the decimal numbers convert them into like decimal then add as usual ignoring decimal point and then put the decimal point in the sum directly under the decimal points of all