Online compound fraction
Introduction :
One part of the whole is said to be fraction. Basic format of the fraction is numerator/ denominator or p/q. The number of the part or top part (p) is representing as numerator and whole number of the part divided into or the bottom part (q) is representing as denominator. Mixed fraction is also said to be compound fraction. The compound fraction contains whole number and fraction part. The basic arithmetic operations are used for solving the compound fraction problems. Example for compound fraction is 4 `2/6` , number 4 is the whole part and `2/6` is the fraction part. In online number of the websites are available for understand the concept of compound fraction. Online is help to learning the compound fraction and solving example problems.
Different types of online fraction:
There are three different types of fraction is available. These types are:
Example problem for online compound fraction:
Solve compound fraction problems:
Example 1:
Solve the following compound fraction: 4`2/5` +5`1/5` .
Solution:
Step 1:
Given compound fraction is 4`2/5` and 5`1/5` .
Step 2:
4 and 5 is the whole number and the `2/5` and `1/5` is the fraction number.
Step 3:
Convert the compound fraction into improper
= 4`2/5` + 5`1/5`
Whole number is multiplied with the denominator and add the result to the numerator in the compound fraction to make it as improper fraction:
= `((4*5)+2)/5 + ((5*5)+1)/5`
Multiply the term inside the parenthesis, we get,
= `(20+2)/5+(25+1)/5`
Add the term in the above expression, we get
= `22/5 + 26/5`
Add the two fractions above, we get
= `48/5`
Make it as a compound fraction
= 9`3/5`
Step 4:
The answer for this problem is 9`3/5`
Example 2:
Solve the following compound fraction: 1`2/3` `xx` 3`1/2`.
Solution:
Step 1:
Given compound fraction is 1`2/3` and 3`1/2` .
Step 2:
1 and 3 is the whole number and the `2/3 ` and `1/2` is the fraction number.
Step 3:
Convert given the compound fraction into improper
= 1`2/3` `xx` 3`1/2`
Whole number is multiplied with the denominator and add the result to the numerator in the compound fraction to make it as improper fraction:
= `((1*3) + 2)/3 xx((3*2) + 1)/2`
Multiply inside terms of the parenthesis, we get,
=`(3+2)/3xx(6+1)/2`
Add the terms in the above expression:
= `(5)/3xx (7)/2`
Step 4:
We can multiply the numerator and denominator value.
= `35/6`
=5`5/6`
Step 5:
The answer for this problem is 5`5/6`
One part of the whole is said to be fraction. Basic format of the fraction is numerator/ denominator or p/q. The number of the part or top part (p) is representing as numerator and whole number of the part divided into or the bottom part (q) is representing as denominator. Mixed fraction is also said to be compound fraction. The compound fraction contains whole number and fraction part. The basic arithmetic operations are used for solving the compound fraction problems. Example for compound fraction is 4 `2/6` , number 4 is the whole part and `2/6` is the fraction part. In online number of the websites are available for understand the concept of compound fraction. Online is help to learning the compound fraction and solving example problems.
Different types of online fraction:
There are three different types of fraction is available. These types are:
- Proper fraction
- Improper fraction
- Mixed fraction or compound fraction
Example problem for online compound fraction:
Solve compound fraction problems:
Example 1:
Solve the following compound fraction: 4`2/5` +5`1/5` .
Solution:
Step 1:
Given compound fraction is 4`2/5` and 5`1/5` .
Step 2:
4 and 5 is the whole number and the `2/5` and `1/5` is the fraction number.
Step 3:
Convert the compound fraction into improper
= 4`2/5` + 5`1/5`
Whole number is multiplied with the denominator and add the result to the numerator in the compound fraction to make it as improper fraction:
= `((4*5)+2)/5 + ((5*5)+1)/5`
Multiply the term inside the parenthesis, we get,
= `(20+2)/5+(25+1)/5`
Add the term in the above expression, we get
= `22/5 + 26/5`
Add the two fractions above, we get
= `48/5`
Make it as a compound fraction
= 9`3/5`
Step 4:
The answer for this problem is 9`3/5`
Example 2:
Solve the following compound fraction: 1`2/3` `xx` 3`1/2`.
Solution:
Step 1:
Given compound fraction is 1`2/3` and 3`1/2` .
Step 2:
1 and 3 is the whole number and the `2/3 ` and `1/2` is the fraction number.
Step 3:
Convert given the compound fraction into improper
= 1`2/3` `xx` 3`1/2`
Whole number is multiplied with the denominator and add the result to the numerator in the compound fraction to make it as improper fraction:
= `((1*3) + 2)/3 xx((3*2) + 1)/2`
Multiply inside terms of the parenthesis, we get,
=`(3+2)/3xx(6+1)/2`
Add the terms in the above expression:
= `(5)/3xx (7)/2`
Step 4:
We can multiply the numerator and denominator value.
= `35/6`
=5`5/6`
Step 5:
The answer for this problem is 5`5/6`