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Home >> Decimal >> Decimal to Lowest Fractional form >> Examples

## Convert Decimal to Lowest Fractional form : Solved Examples

 Decimal Point Place Value of digits in decimals Expanded Form of Decimal Read Decimals Decimal Places Decimal to Fraction Decimal to Mixed Fraction Decimal to Lowest Fractional form Decimal into Percentage Like Decimals Unlike Decimals Difference Like & Unlike Decimals Comparing or Ordering Decimals Ascending Order of Decimals Descending Order of Decimals Multiplication of Decimals Division of Decimals

Convert the following decimals into fraction of lowest form.

A) 0.35
B) 0.125
C) 15.25
D) 2.04
E) 4.72
A) 0.35

Solution: Follow the steps of conversion:

• Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 35

• Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 3 and 5)

• Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.

As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100

Now, we know that:

 Fraction = NumeratorDenominator

Put the values of numerator and denominator from step 1 & Step 3 and we get:

Fraction = 35
100

Now to convert the fraction into lowest form, follow below steps:

Find HCF of numerator and denominator of fraction

Fraction = 35
100

HCF of 35 and 100 = 5

• Step 5: Divide both numerator and denominator by HCF and we get:

Fraction = 35 ÷ 5
100 ÷ 5

Solve the above division expression and we get:

Fraction = 7
20

B) 0.125

Solution: Follow the steps of conversion:

• Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 125

• Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = three (i.e. digits 1, 2 and 5)

• Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.

As calculated in step 2, there are three decimal places, so we will write three zero's next to digit 1 and we get: Denominator = 1000

Now, we know that:

 Fraction = NumeratorDenominator

Put the values of numerator and denominator from step 1 & Step 3 and we get:

Fraction = 125
1000

Now to convert the fraction into lowest form, follow below steps:

Find HCF of numerator and denominator of fraction

Fraction = 125
1000

HCF of 125 and 1000 =125

• Step 5: Divide both numerator and denominator by HCF and we get:

Fraction = 125 ÷ 125
1000 ÷ 125

Solve the above division expression and we get:

Fraction = 1
8

C) 15.25

Follow the steps of conversion:

• Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 1525

• Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 2 and 5)

• Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.

As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100

Now, we know that:

 Fraction = NumeratorDenominator

Put the values of numerator and denominator from step 1 & Step 3 and we get:

Fraction = 1525
100

Now to convert the fraction into lowest form, follow below steps:

Find HCF of numerator and denominator of fraction

Fraction = 1525
100

HCF of 1525 and 100 = 25

• Step 5: Divide both numerator and denominator by HCF and we get:

Fraction = 1525 ÷ 25
100 ÷ 25

Solve the above division expression and we get:

Fraction = 61
4

D) 2.04

Follow the steps of conversion:

• Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 2.04

• Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 0 and 4)

• Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.

As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100

Now, we know that:

 Fraction = NumeratorDenominator

Put the values of numerator and denominator from step 1 & Step 3 and we get:

Fraction = 204
100

Now to convert the fraction into lowest form, follow below steps:

Find HCF of numerator and denominator of fraction

Fraction = 204
100

HCF of 204 and 100 = 4

• Step 5: Divide both numerator and denominator by HCF and we get:

Fraction = 204 ÷ 4
100 ÷ 4

Solve the above division expression and we get:

Fraction = 51
25

Solution: Follow the steps of conversion:

• Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 4.72

• Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = two (i.e. digits 7 and 2)

• Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.

As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100

Now, we know that:

 Fraction = NumeratorDenominator

Put the values of numerator and denominator from step 1 & Step 3 and we get:

Fraction = 472
100

Now to convert the fraction into lowest form, follow below steps:

Find HCF of numerator and denominator of fraction

Fraction = 472
100

HCF of 472 and 100 = 4

• Step 5: Divide both numerator and denominator by HCF and we get:

Fraction = 472 ÷ 4
100 ÷ 4

Solve the above division expression and we get:

Fraction = 118
25

• ### Related Question Examples

 Convert the following decimals into fraction of lowest form. A) 0.35 B) 0.125 C) 15.25 D) 2.04 E) 4.72

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