NOTE: If the numerator was entered without the denominator it is treated as integer.

If the numerator was not entered and the denominator entered than calculation not performed.

Fraction and Decimal Calculator

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Definition

Example

Addition and subtraction of two fractions

Multiplication of two fractions

Division of two fractions

Proper fraction

numerator < denominator

Improper fraction

numerator > denominator

Mixed fraction

Integer and fraction

Mixed to improper fraction

Improper to mixed fraction

For an easy way to find the least common multiple of an array e.g. 8, 6, 42, 16, 32 follow the next steps:
Divide each term of the array (gray column) by 2 see green row at top of the table, if the array item is not divisible by 2 write the number as is.
Continue the process until all numbers that can be divided by 2 are 1, then start dividing by 3 and then by the next prime number. At the end multiply all the divisors at the top
of the table (green row) to get the least common multiple.

LCM = 2 • 2 • 2 • 2 • 2 • 3 • 7 = 672

array

Divide by: 2

Divide by: 2

Divide by: 2

Divide by: 2

Divide by: 2

Divide by: 3

Divide by: 7

8

4

2

1

1

1

1

1

6

3

3

3

3

3

1

1

42

21

21

21

21

21

7

1

16

8

4

2

1

1

1

1

32

16

8

4

2

1

1

1

Example 1: find the LCM of the array 14, 5, 25.

Solution: LCM = 2, • 5, • 5, • 7 = 350

array

Divide by: 2

Divide by: 5

Divide by: 5

Divide by: 7

14

7

7

7

1

5

5

1

1

1

25

25

5

1

1

Example 2: find the LCM of the array 72, 12, 3 21, 112.