What is a Fraction?
A fraction is a type of number that shows how much part of something there is. A fraction is a portion of a whole or, more broadly, any number of equal parts. The numerator is the number above the fraction bar and the denominator is the number below. The top, lower, left and right numbers of a fraction are called “numerators” while the area in between is called “denominators.” Fractions can be positive or negative and may also have a decimal.
A common example of fractions in everyday life would be when one person has two-thirds of another person’s cake. A more abstract example might be if you divide your house into two zones: living room and bedroom, with each having its doors to get out of them. Those are two different fractions. Remember that fractions can be positive or negative, depending on what you want to represent.
Basic Parts of a Fraction
Numerators and denominators are the basic parts of a fraction. An infinite number of numbers could fit into the area between the numerators and the denominators, but the numerators and denominators are the only ones allowed to contain whole numbers. If there are other numbers in between the two, those numbers must be addends or remainders.
A. 1/9: Numerator =1 and Denominator = 9
B. 3/10: Numerator = 3 and Denominator = 10
Also read: Do we just add a zero at the end?
Different Ways of Writing Fractions
There are many ways to write fractions. In every method of writing, the numerator and denominator remain the same. The difference comes from how the fraction is arranged.
When writing fractions in standard form, start with the least significant number and work your way up to the most significant. One way of thinking of this would be to chop the fraction into pieces, starting with the spot with the least amount and working your way up to the biggest.
Types of Fraction
1. Like fractions: these are fractions that have the same denominators. They have common denominators.
A. 5/8: Numerator = 5 and Denominator = 8
B. 3/8: Numerator =3 and Denominator = 8
C. 4/8: Numerator=4 and Denominator=8
These are like fractions because the denominators are equal.
2. Unlike fractions: these are fractions that have a different denominator. They don’t have common denominators.
A. 7/9: Numerator = 7 and Denominator = 9
B. 1/9: Numerator=1 and Denominator=9
C. 3/8: Numerator=3 and Denominator=8
Even though, the first two are like fractions, compared with the third one they are unlike fractions.
3. Proper fractions: those in which the numerator is less than the denominator.
A. 1/2: Numerator =1 and Denominator = 2
B. 2/4: Numerator = 2 and Denominator=4
C. 3/7: Numerator=3 and Denominator=7
D. 4/9: Numerator = 4 and Denominator = 9
E. 1/3 : Numerator=1 and Denominator=3
When you have a proper fraction, it means the numerator is smaller than the denominators.
The above are all proper fractions because the numerators are less than the denominators of each fraction.
4. Improper fractions: are those in which the numerator is greater than the denominator.
A. 4/1: Numerator=4 and Denominator=1
B. 5/3 : Numerator=5 and Denominator=3
C. 8/4: Numerator = 8 and Denominator = 4
These are Improper fractions because the numerators are greater than the denominators of each fraction.
5. Mixed numbers: It is a combination of whole and part.
A. 1 1/4
Rule of Fraction Simplification
Before we can solve fractional problems, we must first learn some rules.
- When adding or subtracting fractions, make sure the denominators are equal. As a result, fraction addition and subtraction with a common denominator are possible.
- When we multiply two fractions, we multiply both the denominators and the numerators. Simplify the fraction later.
- When dividing one fraction by another, we must first find the reciprocal of the second fraction and then multiply it by the first.
Real-life use of fractions
Fraction requires less mathematics knowledge than decimal fractions (decimal point is no longer required); decimal fractions are more complex than fractions and may confuse students at the beginner level.
The fraction can be used to represent a partial quantity of a quantity like 2/3 is 2 parts out of the total amount of 3. Real-life situations may seem more difficult because there are many fractions involved, but it is still possible to understand using fractions in daily life.
The most common and obvious application of fractions would be eating. When choosing food, the portion might be stated in fractions. The most common fraction people may come across is 1/2 (half). In fact, there are also other fractions that we use every day such as 1/4 (quarter), and so on.
Fractions are essential mathematical tools that help us present only part of a whole; this is required in daily life and mathematics. Understanding fractions is important to managing our daily routine.