**Introduction to 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. The denominator of a fraction is the number that shows how many equivalent parts are in the entire measure. The numerator of a fraction is the number that shows how many equal parts of the, whose are taken.

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, these types of fractions are called as improper fractions. If a fraction is constructed by a whole number and a proper fraction is called as mixed fraction.

For example, 2/3 is a proper fraction (2 < 3), 5/3 is an improper fraction (5 > 3), 2 1/3 is a mixed fraction (2 is a whole number, 1/3 is a proper fraction)

Introduction fraction - Addition and Subtraction:

(5 / 2) + (7 / 2)

= (5 + 7) / 2

= 12 / 2

= 6

= (9 - 5) / 3

= 4 / 3

Introduction fraction – Multiplication and Division:

(4 / 3) * (4 / 5)

(4 / 3) * (4 / 5)

= (4 * 4) / (3 * 5)

= 16 / 15.

(1 / 6) / (3 / 4)

(1 / 6) / (3 / 4) (divisor)

= (1 /6) * (4 / 3)

= (4 * 1) / (6 * 3)

= 4 / 18

= 2 / 9

I like to share this simplify algebraic fractions with you all through my blog.

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, these types of fractions are called as improper fractions. If a fraction is constructed by a whole number and a proper fraction is called as mixed fraction.

For example, 2/3 is a proper fraction (2 < 3), 5/3 is an improper fraction (5 > 3), 2 1/3 is a mixed fraction (2 is a whole number, 1/3 is a proper fraction)

Introduction fraction - Addition and Subtraction:

**Steps for****introduction fraction****- addition:****To add algebraic fraction, follow these steps:**- Write the given fraction and common denominator.
- Added the numerators value.
- Solution for the problem

**Example:****(5 / 2) + (7 / 2)****Solution:**(5 / 2) + (7 / 2)

= (5 + 7) / 2

= 12 / 2

= 6

**Steps for****introduction fraction****- subtraction:****To subtraction algebraic fraction, follow these steps:**- Write the given fraction and common denominator.
- Subtracted the numerators value.
- Solution for the problem

**Example:****(9 / 3) – (5 / 3)****Solution:****(9 / 3) – (5 / 3)**= (9 - 5) / 3

= 4 / 3

Introduction fraction – Multiplication and Division:

**Steps for****introduction fraction****- multiplication:****To multiply algebraic fraction, follow these steps:**- Write the given fraction and cancel any common factors.
- Multiply the numerators.
- Multiply the denominators.

**Example:**(4 / 3) * (4 / 5)

**Solution:**(4 / 3) * (4 / 5)

= (4 * 4) / (3 * 5)

= 16 / 15.

**Steps for****introduction fraction****division:****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:**(1 / 6) / (3 / 4)

**Solution:**(1 / 6) / (3 / 4) (divisor)

= (1 /6) * (4 / 3)

= (4 * 1) / (6 * 3)

= 4 / 18

= 2 / 9

I like to share this simplify algebraic fractions with you all through my blog.