Mathematics | Class: JSS1 | Term: 1st

Conversion of Decimals to Fractions

len Alfred Ajibola - 01st February, 2026 @ 09:13 PM

Topics in Mathematics

Linear Equation in Mathematics Word Problems leading to Algebraic Expression BODMAS in Algebra Multiplication and Division in Algebra Addition and Subtraction in Algebra Multiplication of Number Bases Subtraction of Number Bases Addition of Number Bases Division of Number Base Number Base Conversion Number Base System Significant Figures Rounding Off Numbers Decimal Place Value Fraction Word Problems Word Problems in Fraction Multiplication and Division of Fractions Addition and Subtraction of Fractions Expressing One Quantity as a Percentage of Another Expressing One Quantity as a Fraction of Another


Academic Questions in Mathematics

Please click here to see all Questions and Answers

Decagon - Len Academy

What type of polygon is shown in the above image?

  • A. Nonagon

  • B. Decagon

  • C. Octagon

  • D. Hexagon

  • E. Hepagon

  • F. Pentagon

Which of the following is not part of a circle?

  • A. Section

  • B. Sector

  • C. Segment

  • D. Semicircle

  • E. Secant

  • F. Center

Acute Angle - Len Academy

What angle is shown in the above image?

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

An angle greater than 90o but less than 180o is termed _____.

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

Factorize 12a2 - 20a + 3

  • A. (6a - 1)(2a - 3)

  • B. (6a - 1)(2a + 3)

  • C. (6a + 1)(2a - 3)

  • D. (6a + 1)(2a + 3)

  • E. (-6a + 1)(2a - 3)

  • F. (-6a + 1)(2a + 3)

Simplify 10ab + 7ab

  • A. 17ab2

  • B. 17a2b2

  • C. 3ab2

  • D. 3a2b2

  • E. 17ab

  • F 3ab

Which of the following is not a type of angle?

  • A. Right angle

  • B. Left Angle

  • C. Acute Angle

  • D. Complete Angle

  • E. Straight Angle

  • F. Reflex angle

Two lines that can never meet each other are best considered as _____ lines.

  • A. straight
  • B. vertical
  • C. horizontal
  • D. parallel
  • E. oblique
  • F. perpendicular



Decimals to Fractions 


Decimals are numbers that uses a dot (decimal point)  to separate a whole number from the fractional part. Recall that the consecutive numbers after the dot are the fractional part, and they show tenths, hundredths, thousandths, tenth of thousandths, hundredth of thousandths and so on.

Please read on prime numbers here.

 

Fractions are numbers that represent parts of a whole number, and are written as a number over another. The number above is termed the numerator, while that below is the called the denominator. Therefore, fractions are always expressed as 'numerator/denominator'.

A fractions simply tells us how many parts we have (as represented by the numerator) out of the total equal parts it had been divided into (as represented by the denominator). For instance, in the fraction '1/3', the numerator, (that is "1") tells us we have only one entity or thing (e.g meat pie) while the denominator '3' tells us that this means '1' meat pie had been divided into '3' equal parts.

Please read on the addition and subtraction of fractions here.

 

In a fraction, if the numerator is lesser than than the denominator, then the fraction is less than '1'. If the numerator is greater than the denominator, it implies that the fraction is greater than '1'. However, if the numerator and denominator are equals (or same), then the fraction is equal to '1'.

In order to convert a decimal to a fraction, we will have to place the number or digit after the dot (decimal number) as numerator over its place value (e.g tenths, hundredths, thousandths and so on) as the denominator; after which we'll simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor. For example, the decimal 0.5 becomes 5/10; which simplifies into 1/2

Please read on highest common factor here (HCF) here.

Note: A good knowledge on the place value of decimals is very important when converting decimals to fractions.

Please read more on the place value of numbers here.

 


Worked Examples on Decimal Conversion to Fractions 


  • Convert each of the following decimals to fractions:
Example 1
  • 0.3

Solution

The number (3) after the decimal is a tenth

  • Answer: 3/10

 

Example 2
  • 0.50

solution

The number (50) after the decimal is a hundredth

50/100

  • Answer: 1/2


 

Example 3
  • 0.100

Solution

The number (100) after the decimal is a thousandth

100/1000

  • 1/10


 

Example 4
  • 4.02

Solution

The number (02) after the decimal is a hundredth

  • 402/100

  • Answer: 4 1/50


 

Example 5
  • 3.75

Solution 

The number (75) after the decimal is a hundredth

375/100

  • 3 3/4


 

Example 6
  • 150.250

Solution

The number (250) after the decimal is a thousandth

150250/1000

  • 150 1/4

Please read on the conversion of fractions to decimals here.

Please read on the conversion of percentages to fractions here.

 


Assignment on Decimal to Fraction Conversion


Convert the following decimal numbers into fractions:

  • 0.705

  • 7.5

  • 0.25

  • 1.5

  • 0.5

  • 0.005

  • 345.87

  • 22.2

  • 100.00

  • 0.975

  • 0.0024

  • 18.88

  • 50.55

  • 348.90

  • 0.8200

Please read on mathematics week 4 topic for jss1 first term here.

Please read on mathematics scheme of work for jss1 first term here.

Kindly share this article via the links below:


len


Please click here to contact Alfred if you require any of the following services:

  • If you need a standard website at an affordable price.

  • Online training on the academic subjects: biology, chemistry and basic science.

  • If you require an advanced smart school management system (web application) for your school.

Click here to read on Len Academy Smart School Software.


Please click here to follow Len Academy on Google News.



Amazing facts in Mathematics

The opposite sides of a dice will always give a sum of seven

31,556,926 seconds makes one year

From 0 through 1000, the only number that has the letter 'a' in it is 'one thousand'

÷

The division symbol '÷' is actually called an obelus

Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself

40 is spelt as forty and not 'fourty'. It is the only number that is spelt with letters arranged in alphabetical order

An odd number is a number that cannot be divisible by 2.

Every odd number has an 'e' in its spelling. They include:

  • One
  • Three
  • Five
  • Seven
  • Nine

555 in Thailand sounds like 'hahaha'. This is because the number '5' means 'ha' in Thailand

In mathematics, 10! means 10 factorial. Below is its calculation:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

Interestingly, 3628800 seconds is the same as 42 days

42 days is the same as 6 weeks

We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics

When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321


Notable points in Mathematics

Let's use algebra to explain the simple statement below:

I am a number. When you subtract 3 from me, the result is 9. what number am I ?

Of course we know the answer is 12. You probably guessed it from your mind because it was that simple. The truth is, We could have a much more complicated statement of such; and that is where algebra comes into play.

Now, to apply algebra in the above statement, we use letters or alphabets to represent the unknown number(s). So using algebra, we can write:

  • Let the number be y

  • y - 3 = 9

  • y = 9 + 3

  • y = 12

Please read more on algebra here

Sides of a right angle triangle - Len Academy

 

The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ. Below are some points to note:

Hypotenuse is always the longest side of the triangle.

Opposite is the side opposite the angle (θ)

Adjacent is the shorter side next to the angle (θ)

Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:

Sohcahtoa - Len Academy

soh

Sin θ = Opposite/Hypotenuse

cah

Cos θ = Adjacent/Hypotenuse

toa

Tan θ = Opposite/Adjacent

Please read more on sine, cosine and tangent here

Circumference of a Circle - Len Academy

Circumference in mathematics means the distance around the edge of a circle (or a another curved surface).

Circumference is to circle or any other curved surface

Perimeter of a Rectangle - Len Academy

Perimeter means the distance around a square or rectangle or polygon.

Perimeter is to square or rectangle or polygon