Complex fraction help
Introduction:
. For example, is known as the complex fraction.
Explanation for complex fraction help
The explanation for complex fraction help are given below following sections,
Example for complex fractions help
Addition complex number:
Problem 1: Add the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` + 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: The bottom terms of the complex numbers are same, so add the top terms, we get,
= `(26)/(6)` + `(20)/(6)`
= `(26 + 20)/(6)`
= `(46)/(6)`
= `23/3`
This is the answer for complex number addition.
Subtraction complex number:
Problem 2: Subtract the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` - 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: The bottom terms of the complex numbers are same, so add the top terms, we get,
= `(26)/(6)` - `(20)/(6)`
= `(26 - 20)/(6)`
= `(6)/(6)`
= 1
This is the answer for complex number subtraction.
Multiplication complex number:
Problem 3: Multiply the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` `xx` 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: Directly multiplying the top and bottom terms individually, we get,
= `(26)/(6)` `xx` `(20)/(6)`
= `(26 * 20)/(6 * 6)`
= `(520)/(36)`
= `260/18`
= `130/9`
This is the answer for complex number multiplication.
Division complex number:
Problem 4: Divide the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` `-:` 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: Directly multiplying the top and bottom terms individually, we get,
= `(26)/(6)` `-:` `(20)/(6)`
Step 4: After this, we have to change the division into the multiplication,we get
= `26/6` `xx` `6/20`
= `(26)/(20)`
= `(13)/(10)`
This is the answer for complex number multiplication.
Practice problems for complex fractions help
Problem 1: Add the following complex fractions, 6 `(1)/(5)` and 4 `(1)/(5)` .
Answer: `52/5`
Problem 2: Subtract the following complex fractions, 6 `(1)/(5)` and 4 `(1)/(5)` .
Answer: 2
. For example, is known as the complex fraction.
Explanation for complex fraction help
The explanation for complex fraction help are given below following sections,
- By using the complex we can perform the addition operation.
- By using the complex we can perform the subtraction operation.
- By using the complex we can perform the multiplication operation.
- By using the complex we can perform the division operation.
Example for complex fractions help
Addition complex number:
Problem 1: Add the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` + 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: The bottom terms of the complex numbers are same, so add the top terms, we get,
= `(26)/(6)` + `(20)/(6)`
= `(26 + 20)/(6)`
= `(46)/(6)`
= `23/3`
This is the answer for complex number addition.
Subtraction complex number:
Problem 2: Subtract the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` - 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: The bottom terms of the complex numbers are same, so add the top terms, we get,
= `(26)/(6)` - `(20)/(6)`
= `(26 - 20)/(6)`
= `(6)/(6)`
= 1
This is the answer for complex number subtraction.
Multiplication complex number:
Problem 3: Multiply the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` `xx` 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: Directly multiplying the top and bottom terms individually, we get,
= `(26)/(6)` `xx` `(20)/(6)`
= `(26 * 20)/(6 * 6)`
= `(520)/(36)`
= `260/18`
= `130/9`
This is the answer for complex number multiplication.
Division complex number:
Problem 4: Divide the following complex fractions, 4 `(2)/(6)` and 3 `(2)/(6)` .
Solution:
Step 1: The given complex fractions are,
4 `(2)/(6)` `-:` 3 `(2)/(6)`
Step 2: The proper fraction of the complex number has to find out, we get
4 `(2)/(6)` = `(26)/(6)`
3 `(2)/(6)` = `(20)/(6)`
Step 3: Directly multiplying the top and bottom terms individually, we get,
= `(26)/(6)` `-:` `(20)/(6)`
Step 4: After this, we have to change the division into the multiplication,we get
= `26/6` `xx` `6/20`
= `(26)/(20)`
= `(13)/(10)`
This is the answer for complex number multiplication.
Practice problems for complex fractions help
Problem 1: Add the following complex fractions, 6 `(1)/(5)` and 4 `(1)/(5)` .
Answer: `52/5`
Problem 2: Subtract the following complex fractions, 6 `(1)/(5)` and 4 `(1)/(5)` .
Answer: 2