Types of Fractions Mathematics Primary 6

Fractions are a way to represent parts of a whole or the division of a quantity into equal parts. They consist of two numbers: the numerator (the number on top) and the denominator (the number on the bottom). The numerator represents the part or quantity you have, and the denominator represents the whole or the total number of equal parts the whole is divided into. Fractions are essential in mathematics and are used for a wide range of applications, from basic arithmetic to more advanced mathematical concepts.

Meaning Of Fractions Types of Fractions And Mixed Numbers

Here are some of the most common types of fractions:

1. Proper Fractions: In proper fractions, the numerator (the top number) is smaller than the denominator (the bottom number). For example, 1/4 is a proper fraction.
2. Improper Fractions: In improper fractions, the numerator is equal to or greater than the denominator. For example, 5/3 is an improper fraction.
3. Mixed Numbers: A mixed number is a combination of a whole number and a proper fraction. For example, 1 1/2 is a mixed number, where 1 is the whole number and 1/2 is the proper fraction part.
4. Equivalent Fractions: These are fractions that have the same value but may have different numerators and denominators. For example, 1/2 and 2/4 are equivalent fractions.
5. Like Fractions: Like fractions have the same denominator. For example, 1/5 and 3/5 are like fractions.
6. Unlike Fractions: Unlike fractions have different denominators. For example, 1/3 and 1/4 are unlike fractions.
7. Reciprocal Fractions: The reciprocal of a fraction is obtained by swapping the numerator and the denominator. For example, the reciprocal of 3/4 is 4/3.
8. Unit Fractions: Unit fractions have 1 as the numerator. For example, 1/2 is a unit fraction.
9. Complex Fractions: These are fractions that contain one or more fractions in the numerator, denominator, or both. For example, (1/2) / (3/4) is a complex fraction.
10. Decimal Fractions: Fractions can be represented as decimal numbers. For example, 1/2 is equivalent to 0.5 in decimal form.

These are the fundamental types of fractions in mathematics, and they are used in various mathematical operations, including addition, subtraction, multiplication, and division.

Ordering of fractions, changing fraction to decimal, changing decimal to fraction, conversion of fraction and decimal to percentage and vice versa Mathematics Primary 5 First Term Lesson Notes Week 6

1. The sum of 1/4 and 1/3 is _______. a) 2/12 b) 5/12 c) 3/7 d) 1/7
2. What is the difference between 5/8 and 3/8? a) 2/8 b) 2/3 c) 1/8 d) 5/3
3. Simplify the fraction 12/18 to its lowest terms. a) 4/6 b) 2/3 c) 6/12 d) 5/6
4. Convert 0.75 to a fraction. a) 3/4 b) 4/5 c) 5/6 d) 1/3
5. Which of the following is a complex fraction? a) 2/3 b) 1/2 c) (3/4) / (1/5) d) 3 1/4
6. The numerator of a unit fraction is always _______. a) Greater than 1 b) Less than 1 c) Equal to the denominator d) An even number
7. A fraction consists of two numbers: the numerator and the _______. a) Numerator b) Denominator c) Whole number d) Decimal point
8. In the fraction 3/4, the numerator is _______. a) 3 b) 4 c) 7 d) 2
9. An improper fraction has a numerator that is _______ the denominator. a) Smaller than b) Equal to c) Greater than d) Unrelated to
10. 2 1/2 is an example of a _______ number. a) Proper fraction b) Mixed number c) Unit fraction d) Reciprocal fraction
11. Fractions that have the same denominator are called _______ fractions. a) Proper b) Like c) Improper d) Mixed
12. The reciprocal of 5/6 is _______. a) 6/5 b) 11/12 c) 5/11 d) 1/6
13. 3/8 and 4/8 are examples of _______ fractions. a) Equivalent b) Mixed c) Unlike d) Complex
14. 1/1 can also be referred to as a _______ fraction. a) Mixed b) Unit c) Complex d) Decimal
15. The decimal equivalent of 3/5 is _______. a) 0.6 b) 0.3 c) 0.2 d) 0.5