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Fraction Calculator

Now you can Add Fractions, Subtract Fractions, Multiply Fractions, or Divide Fractions online. Detect your answer in the simplest form with this Online Fraction Calculator.

How exercise you add together fractions?

There are two cases regarding the denominators when nosotros add together ordinary fractions that are shown as follow in steps:

Adding fractions that have similar denominators:

• Simply add the numerators of the fractions.
• The denominator of the resulting fraction will be the common denominator of the fractions.
• Reduce the resulting fraction.
For instance: a/b + d/b = (a + d)/b
or
seven/17 + 9/17 = (7 + 9)/17

Adding fractions with different denominators:

• If the denominators don't match, Multiply the denominators together.
• Suit your numerators (elevation numbers) accordingly. Due east.g. if y'all doubled the denominator, then double its numerator.
• Add the numerators, and put this full over the common denominator.
• Simplify the fraction to the smallest possible denominator, with the numerators also reduced proportionately.
Example: a/b + c/d = (ad + cb)/bd
For adding the fractions i/3 and 1/five,
i/three + ane/v = (one*five + one*3)/3*v = 5+3/15 = 8/15
The sum eight/15 is already in its simplest form.

How do you subract fractions?

There are 2 cases regarding the denominators when we subtract ordinary fractions that are shown as follow with steps:

Subtracting fractions with like denominators:

• Simply subtract the numerators of the fractions.
• The denominator of the resulting fraction will be the common denominator of the fractions.
• Reduce the resulting fraction.
An case
• a/d - c/d = (a-c)/d
• 4/18 - 3/18 = ( 4 - 3)/18 = one/eighteen

Subtracting fractions with different denominators:

• If the denominators don't match Multiply the denominators together.
• Adjust your numerators (summit numbers) appropriately. E.yard. if you doubled the denominator, then double its numerator.
• decrease the numerators, and put this total over the mutual denominator.
• Simplify the fraction to the smallest possible denominator, with the numerator besides reduced proportionately.
a/b - c/d = (ad - cb)/bd
For subtracting the fractions 1/3 and 1/five,
i/3 - one/5 = (one*v - 1*three)/3*5 = 5-iii/fifteen = 2/15
Example: For subtracting the fractions x/15 and 1/5,
10/fifteen - ane/5 = (10*v - one*15)/fifteen*5 = fifty-15/75 = 35/75 = 7/xv

How do y'all multiply fractions?

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, information technology is not necessary to compute a common denominator in lodge to multiply fractions, multiplying fractions is shown as follow in steps:

• Only, the numerators and denominators of each fraction are multiplied.
• The event forms a new numerator and denominator.
• If possible, the solution should exist simplified. Refer to the equations beneath for clarification.
a/b × c/d = a*c / b*d
Case: Multiply the fractions 10/15 and 1/5.
10/15 × 1/5 =10/75
or =2/15
The answer 2/15 is already in its simplest form.

How do you lot dissever fractions?

For dividing the fractions the steps are equally follows:
• You starting time discover the reciprocal of the second fraction.
• And then multiply both fractions to get the outcome.
Example:
For dividing the fraction a/b and c/d the reciprocal of c/d is d/c.
Y'all then multiply the first fraction by the reciprocal of the second fraction.
a/b ÷ c/d =a/b x d/c = a*d / b*c
Instance 2: For dividing the fractions 1/5 and 15/4.
1/5 ÷ 15/4 = 1/5 x iv/xv = 4/75
The answer is four/75. This answer is already in its simplest form. Fraction Calculator