Mathematics | Class: JSS1 | Term: 1st

Converting Fractions to Decimal

len Alfred Ajibola - 01st February, 2026 @ 09:14 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



Fraction to Decimal


Recall that fractions are numbers that represent parts of a whole number, and are written as a number over another. The number above is the numerator, while that below is the denominator; (that is numerator/denominator).

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

The numerator of a fraction simply tells us how many parts we've got out of the total equal parts it had been divided into (that is; denominator). For instance, in 2/4, the numerator, that is "2" tells us we have two parts of something (e.g pizza) while the denominator '4' tells us that the two pizzas had been divided into 4 equal parts.

Please read on the conversion of decimal to fraction here.

 


Methods of Converting Fraction to Decimal 


  • Method 1

If the denominator of a fraction is a tenth, hundredth, thousandths, tenth of thousandths and so on; we can easily count the number of zero(s) of the denominator, write it down, after which we'll write the value of the numerator on the rightmost side. Always add a dot after the first zero. This is shown below:

Convert the following fractions to decimal:

  • 1/10 = 0.1

  • 1/100 = 0.01

  • 1/1,000 = 0.001

  • 1/10,000 = 0.0001

Note: Knowledge on place value of numbers will be required when using this method.

Please read more on the place value of numbers here.

 

If the denominator isn't a tenth, hundredth, thousandths and so on, we may still multiply the numerator and denominator by a value that makes (the denominator) a tenth, hundredth or thousandths. This is shown below:

Convert the following fractions to decimal:

Example 1:

  • 2/5

Multiply the numerator and denominator by 2 (to make the denominator a tenth)

  • 4/10 = 0.4

 

Example 2

  • 4/25

Multiply the numerator and denominator by 4 (to make a the denominator a hundredth)

  • 16/100 = 0.016

 

Example 3

  • 30/200

Multiply the numerator and denominator by 5 (to make a the denominator a thousandth)

  • 150/1000 = 0.00150

Please read on the multiplication and division of fractions here.

 

Note: This method is not always applicable, thus making method 2 more accurate when dealing with all fractions.

 

  • Method 2:

This is the division method. We can convert decimal to fraction by using the decisive (or division) method.

To convert a fraction to a decimal using the division method, simply divide the numerator (top number) by the denominator (bottom number). You will need to add zero(s) or an appropriate positive number and a decimal point as needed to continue the division until you get a remainder of zero.

Please read on the addition and subtraction of fractions here.

 

These are explained through the steps below:

  • Step 1: Identify the top number (numerator) and bottom number (denominator) of the fraction.

  • Step 2: Divide the numerator by the denominator. If the denominator is larger than the numerator, you'll write down a zero and dot (decimal point), Next, you will minus this value of zero from the numerator, which still gives you the same numerator. For example, in dividing 1/2, since the denominator '2' is larger than the numerator '1', we will simply write down a zero and a point (that is 0 point). Next, minus zero from 1 (1 - 0 = 1).

  • Step 3: Next, we'll add a zero to the numerator (if there's isn't a number after it). In our example above, this makes the numerator 10. However, if there's a number after the numerator, we'll bring down the number. See the images below:

  • Step 4: We'll divide the 10 (derived in step 3) by the denominator and this gives us 5 remainder 0. That is (10/2 = 5) The value of 5 is added after the point, eventually giving us the answer 0.5 . This will be our final answer in this instance.

  • Step 5: If we are yet to reach a remainder of zero, we'll keep bringing down numbers until we get a remainder of zero. See the images below:

  • Step 6: If a repeating pattern keeps appearing, this means that the decimal won't terminate. Therefore, round up to the desired decimal place (e.g., tenths, hundredths, thousandth, etc). 

  • Step 7: When working with mixed fractions, for instance '2 1/2', either convert it to improper fraction and then divide, or simply convert the fraction part and add it to the whole number (2 + 0.5 = 2.5).

Please read on decimal places here.

You can read on rounding off numbers here.

 

The division of fractions are further shown through the images below:

Converting Fraction to Decimal through Long Division - Len Academy

Converting Fraction to Decimal through Long Division - Len Academy

Converting Fraction to Decimal Long Decimal - Len Academy

Note: In the division method, the numerator is called the dividend with the denominator is called the decision.

Please read on word problems involving fractions here.

Please read on the conversion of fractions to percentages here.

 


Assignment 


Converting the following fractions to decimal.

  • 5/6

  • 4 5/8

  • 7 2/5

  • 1 1/4

  • 5/8

  • 4/8

  • 10/2

  • 29/40

  • 78/125

  • 4 18/25

  • 3/8

  • 61/125

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

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

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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