Converting Mixed Numbers

Mixed numbers is one of the basis concept of arithmetic. If we divide one number by another, we get a fraction. For example if 4 is divided by 5 we get `(4)/(5). ` The number above the bar is called the numerator and the number below the bar is called the denominator. If the numerator is less than the denominator it is called a proper fraction and if the number is greater than the denominator, it is called an improper fraction. An improper fraction can also be expressed a combination of an integer and a proper fraction. If we represent in this fashion it is called a mixed fraction or mixed number. For example `(6)/(5)`is an improper fraction and also can be represented as 1`(1)/(5)` which is a mixed fraction.

An improper fraction can be converted to a mixed fraction and we will see in detail how this can be done.

Having problem with What is an Improper Fraction keep reading my upcoming posts, i will try to help you.

Explanation for the mixed number math

The explanation for the mixed number math are given below,

There are many operations can be performed by a mixed number. They are given as,

• Addition operation mixed number
• Subtraction operation mixed number
• Multiplication operation mixed number
• Division operation mixed number

Example problem for mixed number math

Problem 1: Converting Improper Fractions to Mixed Numbers , `(13)/(2)` .

Solution:

Step 1: In the first step, we are going to divide the fraction number,

2 ) 13 ( 6      `->` Quotient Number

     12

  _____

      1        `->`  Remainder Number

  _____

where,

• 2 is called as the divisor.
• 13 is called as the dividend.
• 6 is called as the Quotient .
• 1 is called as the Remainder.

The mixed number for the given fraction is 6 `(1)/(2)` .

Problem 2: Convert the given fraction number into the mixed number , `(24)/(5)` .

Solution:

Step 1: In the first step, we are going to divide the fraction number,

5 ) 24 ( 4      `->` Quotient Number

     20

   _____

       4        `->`  Remainder Number

   _____

where,

• 5 is called as the divisor.
• 24 is called as the dividend.
• 4 is called as the Quotient .
• 4 is called as the Remainder.

The mixed number for the given fraction is 5 `(4)/(4)`.

Problem 3: Convert the given fraction number into the mixed number , `(37)/(6)` .

Solution:

Step 1: In the first step, we are going to divide the fraction number,

6 ) 37  ( 6      `->` Quotient Number

     36

   _____

       1        `->`  Remainder Number

   _____

where,

• 6 is called as the divisor.
• 37 is called as the dividend.
• 6 is called as the Quotient .
• 1 is called as the Remainder.

The mixed number for the given fraction is 6 `(1)/(6)`.

Practice problem for mixed number math

Problem 1: Convert the given fraction number into the mixed number , `(50)/(7)` .

Answer:  7 `(1)/(7)`

Problem 2: Convert the given fraction number into the mixed number , `(66)/(8)` .

Answer: 8 `(2)/(8)`