Types of Fractions

Like fractions

Fractions with the same denominators are called like fractions.

Ex-

 \dfrac{2}{9},\ \dfrac{3}{9},\ \dfrac{4}{9},\ \dfrac{5}{9}, etc

Unlike fractions

Fractions with different denominators are called, unlike fractions.

Ex-

 \dfrac{1}{2},\ \dfrac{1}{4},\ \dfrac{1}{6},\ \dfrac{5}{7}, are all unlike fractions.

Unit fractions

Fractions with numerator 1 are called unit fractions.

Ex-

 \dfrac{1}{1},\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{1}{7},\cdots

Proper fractions

A fraction with a numerator less than its denominator is called a proper fraction.

Ex-

 \dfrac{3}{4},\ \dfrac{5}{7},\ \dfrac{6}{11},\ \dfrac{20}{27}, etc

Imroper fractions

A fraction whose numerator greater than or equal to its denominator is called an improper fraction.

Ex-

 \dfrac{5}{4},\ \dfrac{7}{5},\ \dfrac{7}{7},\ \dfrac{8}{3},  

Mixed numbers

When an improper fraction is written as a combination of a whole number and a proper fraction, it is called a mixed number.

Ex-

\bullet\ 3\dfrac{1}{4},\  \  2\dfrac{1}{2} etc.

\vspace*{0.25cm}\\  \begin{array}{cc} \bullet\  3\dfrac{1}{4}& =\dfrac{3\times 4+1}{4} \vspace*{0.22cm}\\ &=\dfrac{12+1}{4} \vspace*{0.22cm}\\ &= \dfrac{13}{4} \end{array}

 \vspace*{0.25cm}\\  \begin{array}{cc} \bullet\  4\dfrac{6}{7}& =\dfrac{4\times 7+6}{7} \vspace*{0.22cm}\\ &=\dfrac{34}{7}  \end{array}

 \bullet\  Convert the improper fraction into mixed numeral,
1.  \dfrac{21}{8}=2+\dfrac{5}{8}=2\dfrac{5}{8}

Rendered by QuickLaTeX.com

  

2.  \dfrac{43}{7}=6+\dfrac{1}{7}=6\dfrac{1}{7}

Rendered by QuickLaTeX.com

  

Scroll to Top