Fractions Calculator With Step by Step Solution
The online fractions calculator can add fractions, subtract fractions, multiply fractions and divide any kind of fractions with the same or different denominators and get a complete step-by-step solution.
If the fraction does not have a whole-number part, leave this field blank. If the fraction is negative, put a minus in the whole part. The (+) button allows you to insert the previous result into a fraction and perform further calculations.
Adding fractions with the same denominator
Add two fractions with the same denominators.
Add the numerators of the fractions, and leave the denominator the same.
Adding fractions with different denominators
Add two fractions with different denominators
Let's make the denominator for
and
the same. In order for the fractions to have a common denominator, we calculate the least common multiple (LCM) of the denominators of the first and second fractions.
LCM( 15 ; 14 ) = 210
Divide the LCM 210 by the denominator of the first fraction and the denominator of the second fraction.
210 : 15 = 14
210 : 14 = 15
Now we write the LCM( 15 ; 14 ), into the denominator of each fraction, and multiply the numerator of each fraction by the result of dividing the LCM by the corresponding denominator.
Add the numerators of the fractions, and leave the denominator the same.
Adding mixed fractions with different denominators
Add two mixed fractions with different denominators.
Convert mixed fractions
and
into improper fractions. To do this, for each fraction, we will leave the denominator the same, and write the sum in the numerator, where the first term is the product of the denominator and the whole-number part, and the second is the numerator.
Let's make the denominator for
and
the same. In order for the fractions to have a common denominator, we calculate the least common multiple (LCM) of the denominators of the first and second fractions.
LCM( 8 ; 12 ) = 24
Divide the LCM 24 by the denominator of the first fraction and the denominator of the second fraction.
24 : 8 = 3
24 : 12 = 2
Now we write the LCM( 8 ; 12 ), into the denominator of each fraction, and multiply the numerator of each fraction by the result of dividing the LCM by the corresponding denominator.
Add the numerators of the fractions, and leave the denominator the same.
Subtracting fractions with the same denominator
Subtract two fractions with the same denominator.
Subtract the numerator of the second fraction from the numerator of the first fraction, and leave the denominator the same.
Subtracting fractions with different denominators
Subtract two fractions with different denominators.
Let's make the denominator for
and
the same. In order for the fractions to have a common denominator, we calculate the least common multiple (LCM) of the denominators of the first and second fractions.
LCM( 12 ; 9 ) = 36
Divide the LCM 36 by the denominator of the first fraction and the denominator of the second fraction.
36 : 12 = 3
36 : 9 = 4
Now we write the LCM( 12 ; 9 ), into the denominator of each fraction, and multiply the numerator of each fraction by the result of dividing the LCM by the corresponding denominator.
Subtract the numerator of the second fraction from the numerator of the first fraction, and leave the denominator the same.
Subtracting mixed fractions with different denominators
Subtract two mixed fractions with different denominators.
Convert mixed fractions
and
into improper fractions. To do this, for each fraction, we will leave the denominator the same, and write the sum in the numerator, where the first term is the product of the denominator and the whole-number part, and the second is the numerator.
Let's make the denominator for
and
the same. In order for the fractions to have a common denominator, we calculate the least common multiple (LCM) of the denominators of the first and second fractions.
LCM( 17 ; 19 ) = 323
Divide the LCM 323 by the denominator of the first fraction and the denominator of the second fraction.
323 : 17 = 19
323 : 19 = 17
Now we write the LCM( 17 ; 19 ), into the denominator of each fraction, and multiply the numerator of each fraction by the result of dividing the LCM by the corresponding denominator.
Subtract the numerator of the second fraction from the numerator of the first fraction, and leave the denominator the same.
Multiplication of fractions
Let's multiply two fractions.
Multiply the denominators and numerators of fractions.
Multiplication of mixed fractions
Let's multiply two mixed fractions.
Convert mixed fractions
and
into improper fractions. To do this, for each fraction, we will leave the denominator the same, and write the sum in the numerator, where the first term is the product of the denominator and the whole-number part, and the second is the numerator.
Multiply the denominators and numerators of fractions.
Let's multiply two fractions.
Convert mixed fraction
into improper. To do this, leave the denominator the same, and write the sum in the numerator, where the first term is the product of the denominator and the whole-number part, and the second is the numerator.
Multiply the denominators and numerators of fractions.
Division of fractions
Let's divide Fractions.
Let's swap the numerator and denominator of the second fraction.
Multiply the denominators and numerators of fractions.
Division of mixed fractions
Let's divide one mixed fraction by another.
Convert mixed fractions
and
into improper fractions. To do this, for each fraction, we will leave the denominator the same, and write the sum in the numerator, where the first term is the product of the denominator and the whole-number part, and the second is the numerator.
Let's swap the numerator and denominator of the second fraction.
Multiply the denominators and numerators of fractions.
Let's divide Fractions.
Convert mixed fraction
into improper. To do this, leave the denominator the same, and write the sum in the numerator, where the first term is the product of the denominator and the whole-number part, and the second is the numerator.
Let's swap the numerator and denominator of the second fraction.
Multiply the denominators and numerators of fractions.