Formulas For Decimals And Fractions

August 30, 2019

Decimals and Fractions Formulas

Definition

1.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.

2.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

1. Decimal:

There are two types of decimal

(a). Non-recurring decimal or terminating decimal: A non-recurring decimal is a non-repeating decimal. It is terminated at some point. For example: 1/5 = 0.5, 125/4 = 31.25

(b). Recurring decimal or non-terminating decimal: A recurring decimal is a repeating decimal. For example: 19/6 = 3.1666666, 21/9 = 2.33333

2.Fraction:

There are two types of fraction

(a)Common fraction: A common fraction is a fraction in which both numerator and denominator are integers. For example, 2/7, 3/2….etc.

(b) Decimal fraction: A decimal fraction is a fraction in which denominator is an integer power of ten. For example, 1/10, 4/100…etc.

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.