Formulas For Decimals And Fractions

January 3, 2022

Concept of Decimal and Fraction

The Standard  for representing integer and non-integer numbers known as Decimal. Whereas, the  fraction denotes a part of a whole or any number of equal parts. These two topics are considered as one the basics of quantitative aptitude and must be mastered by every student. On this page you’ll come across some of the basic formulas for Decimals And Fractions.

Formulas For Decimals And Fractions

Decimals and Fractions Formulas

  • Definition
    • Decimal: A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. For example, 0.5, 2.55,… etc. It has two parts: The integer part on the left of the decimal point, and the fractional part on the right of the decimal point.

    • Fraction: A fraction is an expression that indicates the quotient of two quantities. For example, 1/2, -1/4, 2/5 … etc. It has two parts: Numerator and Denominator

Formulas for Decimal and Fractions & Types

  • Decimal:

There are two types of decimal

    • Non-recurring decimal or terminating decimal: A non-recurring decimal is a non-repeating decimal. It is terminated at some point. For example: \frac{1}{5} = 0.5, \frac{125}{4} = 31.25
    • Recurring decimal or non-terminating decimal: A recurring decimal is a repeating decimal. For example: \frac{19}{6} = 3.1666666, \frac{21}{9} = 2.33333

  • Fraction:

There are two types of fraction

    • Common fraction: A common fraction is a fraction in which both numerator and denominator are integers. For example, \frac{2}{7}, \frac{3}{2}….etc.
    • Decimal fraction: A decimal fraction is a fraction in which denominator is an integer power of ten. For example,\frac{1}{10}, \frac{4}{100}…etc.

  • Proper Fraction : A proper fraction is a fraction in which the numerator is less than the denominator. 

       Proper Fraction = Numerator < Denominator

        Example : 1/2, 6/7, 15/200

  • Improper fraction : A Improper fraction is a fraction in which numerator is greater/larger than denominator.

          Improper Fraction = Numerator > Denominator

          Example : 3/2, 60/7, 150/2

  • Mixed fraction :  A mixed fraction is a mixture of whole number and fraction. A mixed fraction is always greater than 1.

         Mixed Fraction = Whole number + Proper Fraction

         Example : 1 3/4, 2 3/4, 1 50/260

  • Like fraction : Like fractions are fractions which have the exactly same denominators.

       Example : 1/5, 3/5, 2/5, 4/5, 6/5

  • Unlike fraction : Unlike fractions are fractions which have different denominators.

         Example : 2/5, 1/6, 2/3, 7/7, 8/9

  •  Equivalent fraction : Equivalent fractions are the fractions in which numerator and denominators have different values but are equal to the same value.

        Example : 2/12, 3/18, 4/24, 5/30

Points to remember in Decimal and Fraction Formulas

  • The denominator of a fraction cannot be zero.
  • In decimal number, the fractional part’s value is always 0
  • If numerator = 0 and denominator ≠ 0, the value of fraction is zero.
  • If the denominator = 0, the value of fraction is infinity.
  • If the numerator and denominator contain the same number of decimal places, we can remove the decimal sign.

Read Also – Tips and Tricks of  Decimals and Fractions  questions.

How to Solve Decimals and Fractions Quickly

Questions on Decimals and Fractions