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.
