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What is a fraction?

A fraction refers to a part of a whole region or a collection. The name Fraction comes from “fractio” which is a latin word for the the phrase to “to break”. Traditional civilizations in Egypt were the earliest to study fractions and they used the knowledge to divide currency, supplies and food. In maths, Fractions are defined as numerical values that represents part of a whole number. It can be a section or a portion of any quantity.

Parts of a fraction?

Numerator– This is the number that appears on top of the bottom number

Denominator– This is the number that appears below the top number

Line – This is the line that separates the numerator and the denominator

Types of Fractions

Proper fractions – Proper fractions refer to the fractions with a smaller numerator compared to the
denominator

Improper fractions- This is the fraction that has a larger numerator compared to the denominator

Mixed fractions – This is a fraction that is represented with its remainder and quotient. It consists of a whole number and a fraction. EG. 2 1/3

Like Fractions – These are fractions that have the same denominators. Eg. 3/4, 1/4,

Unlike fractions– These are a group of fractions with unequal denominators.  E.g 2/3, 4/5, 5/7

Equivalent fractions – Two or more fractions that share the same results after simplifying. For example 2/6 =1/3 and4/12 = 1/3

Unit fractions– These are fractions that consist of 1 as the numerator. For example, 1, 2, 1/3,
1/4, 1/5, ….

Fractions Multiplication

To multiply a fraction you need to start with the numerator, then denominator. Once you get the answer simplify it to its simplest form. If it’s a mixed fraction then you need to convert it to an improper fraction first before multiplying and simplifying. When multiplying a fraction to a whole number you need to convert the whole number into a fraction first. Remember every whole number divided by 1 it’s the number its self. Hence when you represent it with 1 as the denominator the number will still remain the same.

Example 1:
Multiply 1/4 by 2/8

1/4 × 2/8 = 2/32

2/32 = 1/6

= 1/6

Example 2: Multiply 1 2/3 by 4/5

First convert the mixed fraction to improper fraction

3 × 1 + 2 / 3 = 5/3

Now multiply the numerators

5 × 4 = 20

Next multiply the denominators

3 × 5 = 15

No join the parts and simplify

20/15

=4/3

Example 3:
Multiply 8/9 by 2

First convert 2 into a fraction by adding 1 as a denominator. 2/1

Now multiply the numerators

8 × 2 = 16

Next multiply the denominators

9 × 1= 9

Join the fraction

= 16/9