How Many Fractions Are There

There are six types of fractions.

The term used to describe the parts of a full object is fractions. For instance, if the cake is divided into four parts, each part is equal to one-fourth of the cake. Here, the numerator is 1, the denominator is 4 and the fraction is 1/4. See the below figure to understand this concept of fractions.

Types of fractions

The three basic fraction types that can be distinguished based on the numerator and the denominator are:

• Proper fractions.

• Improper fractions.

• Mixed fractions.

A fraction group's classification helps in fraction comparison. They belong into the following categories:

• Like fractions

• Unlike fractions

• Equivalent fractions

Proper Fractions

A proper fraction is one whose numerator is less than its denominator.

Example- \frac{4}{5}, \frac{7}{8}, \frac{2}{5}.

Improper Fractions

A fraction whose numerator is more than or equal to its denominator is referred to as an improper fraction.

Example- \frac{5}{4}, \frac{8}{7}, \frac{5}{2}

Mixed Fractions

An improper fraction can be expressed as a mixed fraction by dividing the numerator by the denominator and yielding the quotient and remainder. As its name implies, it combines a whole and a "part."

Examples- 1\frac{5}{4}, 3\frac{8}{7}, 6\frac{5}{2}.

Like Fractions

Like fractions are those two or more fractions that include the same denominator but a different numerator.

Example- \frac{5}{4}, \frac{8}{4}

Unlike Fractions

When two or more fractions contain different denominators, the fractions are referred to as, unlike fractions.

Example- \frac{5}{7}, \frac{8}{9}

Equivalent Fractions

Fractions that retain the same value when simplified are said to be equivalent.

Example- \frac{25}{20} can be simplified as \frac{5}{4} . These two fractions are equivalent.

Unit Fractions

Unit fractions or unique fractions are fractions with the number 1 as the numerator.

Example- \frac{1}{20}, \frac{1}{15}, \frac{1}{6}

Examples

Q1: Identity which type of fractions are given.

Ans:

1. \frac{5}{10} = Proper fraction

2. \frac{15}{10} = Improper fraction

3. \frac{1}{10} = Unit fraction

Q2: State whether the following is true or false

Ans:

1. 1\frac{2}{5} is a improper fraction- False

2. \frac{2}{5} is equivalent to \frac{10}{25} - True

3. \frac{10}{25}, \frac{10}{5}, \frac{7}{35} are like fractions- False, these are unlike fractions.