What is a Fraction?

A fraction is a part of a whole. Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator.

Numerator/ denominator

In a fraction, if the numerator is smaller than the denominator, it is called as proper fraction. Proper fractions are in completely reduced form. If the numerator is bigger than the denominator, this type of fractions is called as improper fractions. If a fraction is constructed by a whole number and a proper fraction is called as mixed fraction.

For example, `4 / 7` is a proper fraction (4 < 7)

`9 / 3` is an improper fraction (9 > 3)

2 `3/4` is a mixed fraction (2 is a whole number, `3/4` is a proper fraction)

Fraction Table Chart – Chart and Addition, Subtraction:

Fraction table chart:

Fraction Chart

Fraction Chart

Fraction table chart - Steps for addition and example problem:

            To add algebraic fraction, follow these steps:

  • Write the given fraction and common denominator.
  • Added the numerators value.
  • Solution for the problem

Example:

            Find the adding fraction: (`7 / 2` ) + (`5 / 2` )

Solution:

(`7 / 2` ) + (`5 / 2` )              (The denominator value is same)

= `(7 + 5) / 2`                    (So, add the numerator value)

= `12 / 2`

= 6

Fraction table chart - Steps for subtraction and example problem:

            To subtraction algebraic fraction, follow these steps:

  • Write the given fraction and common denominator.
  • Subtracted the numerators value.
  • Solution for the problem

Example:

              Find the subtracting fraction: (`19 / 3` ) – (`4 / 3` )

Solution:

            (`19 / 3` ) – (`4 / 3` )

= `(19 – 4) / 3`

= `15 / 3`

= 5

Fraction Table Chart – Multiplication and Division:

Fraction table chart - Steps for multiplication and example problems:

            To multiply algebraic fraction, follow these steps:

  • Write the given fraction and cancel any common factors.
  • Multiply the numerators.
  • Multiply the denominators.


Example:

Find the multiplying fraction: (`4 / 3` ) * (`5 / 2` )

Solution:

            (`4 / 3` ) * (`5 / 2` )

= `(4 * 5) / (3 * 2)`

= `20 / 6`

= `10 / 3`

Fraction table chart - Steps for division and example problems:

To divide algebraic fraction, follow these steps:

  • Write the given fractions.
  • Change the division sign to a multiplication sign and invert the second fraction.
  • Write the given fraction and cancel any common factors.
  • Multiply the numerators.
  • Multiply the denominators.

Example:

Find the dividing fraction: (`2 / 3` ) ÷</span> (`7 / 4` )

Solution:

(`2 / 3` ) ÷</span> (`7 / 4` )

= (`2 / 3` * (`7 / 4` )

= `(2 * 7) / (3 * 4)`

= `14 / 12`

= `7 / 6`