# Formulas For Decimals And Fractions

## Formulas for Decimal and Fraction

The Standard  for representing integer and non-integer numbers known as Decimal. And the  fraction denotes a part of a whole or any number of equal parts.

### 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.