Simplifying Complex Fractions Calculator

| Share
Simplify Complex Fractions
Enter Mixed Numbers, Fractions or Integers
= ?
Answer:
Simplifying the Complex Fraction
Convert Mixed Numbers to Fractions
5
1
3
-6
15
=
16
3
-6
15

Reduce fractions where possible

16
3
-6
15
=
16
3
-2
5

Method 1 : LCD Multiplication
The LCD for 3 and 5 is 15
Multiply top and bottom by the LCD

15 ×  
16
3
 
15 ×  
-2
5
 
=
80
-6

convert to mixed numbers and
reduce fractions where possible

=
-80
6
=
-40
3
= -13  1/3

Method 2 : Fraction Division
Divide the top fraction by the bottom
(multiply top by recipricol of bottom)

16
3
÷
-2
5
=
16
3
×
5
-2
=
80
-6

convert to mixed numbers and
reduce fractions where possible

=
-80
6
=
-40
3
= -13  1/3

How to simplify complex fractions

This calculator will take any 2 of mixed numbers (mixed fractions), regular fractions, improper fraction and integers and simplify the entire fraction by both of the following methods.

Method 1 : LCD Multiplication

1. Convert any mixed numbers to improper fractions.
2. Reduce all fractions when possible.
3. Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
4. Multiply both the numerator and the denominator of the complex fraction by the LCD.
5. When possible reduce, simplify and convert to mixed numbers, any final fraction results.

Method 2 : Fraction Division

1. Convert any mixed numbers to improper fractions.
2. Reduce all fractions when possible.
3. The main fraction line means "divide". It is a fraction within a fraction. So, we can rewrite the fraction as a standard fraction division problem.
4. Follow the normal rules for dividing fractions; invert the the second term and multiply.
5. When possible reduce, simplify and convert to mixed numbers, any final fraction results.

References/ Further Reading

Simplifying Complex Fractions

 

Cite this content, page or calculator as:

Furey, Edward "Simplifying Complex Fractions Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.