# Add integer numbers: 36 + 9 + 9 = ?

## Add ordinary fractions, online calculator

 36 + 9 + 9 = ? Sep 24 00:51 UTC (GMT) 1/125 + 123/12 = ? Sep 24 00:51 UTC (GMT) 16/110 + 39/14 = ? Sep 24 00:51 UTC (GMT) 23/32 - 41/81 = ? Sep 24 00:51 UTC (GMT) - 20/37 - 28/11 + 20/30 + 28/20 + 54/20 - 47/11 = ? Sep 24 00:51 UTC (GMT) - 14/20 + 12/17 + 14/13 + 19/25 + 19/8 + 16/16 - 19/7 - 8/24 + 22/6 - 13/2,024 + 2,029/9 - 120,680/16 - 94,587/12 + 120,675/9 - 94,588 = ? Sep 24 00:51 UTC (GMT) - 571/10 - 14/81,824 = ? Sep 24 00:51 UTC (GMT) - 26/5 - 47/91,219 + 26/15 + 16/22 - 9,726/8 = ? Sep 24 00:51 UTC (GMT) 36/64 - 40/463,359 = ? Sep 24 00:51 UTC (GMT) 76/140 + 39/62 - 24/29 = ? Sep 24 00:51 UTC (GMT) - 24/30 + 25/33 = ? Sep 24 00:51 UTC (GMT) 54/11,011 + 23 = ? Sep 24 00:51 UTC (GMT) - 25/8 - 18/9 = ? Sep 24 00:51 UTC (GMT) see more... added fractions

## How to: Adding ordinary (simple, common) math fractions. Steps.

There are two cases regarding the denominators when we add ordinary fractions:

• A. the fractions have like denominators;
• B. the fractions have unlike denominators.

### A. How to add ordinary fractions that have like 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.

### An example of adding ordinary fractions that have like denominators, with explanations

• #### 3/18 + 4/18 + 5/18 = (3 + 4 + 5)/18 = 12/18;

• We simply added the numerators of the fractions: 3 + 4 + 5 = 12;
• The denominator of the resulting fraction is: 18;

### B. To add fractions with different denominators (unlike denominators), build up the fractions to the same denominator. How is it done?

• #### 1. Reduce the fractions to the lowest terms (simplifying).

• Factor the numerator and the denominator of each fraction down to prime factors (prime factorization).
• #### Factor numbers online down to their prime factors.

• Calculate GCF, the greatest common factor (also called GCD, greatest common divisor, HCF, greatest common factor) of each fraction's numerator and denominator.
• GCF is the product of all the unique common prime factors of the numerator and the denominator, taken by the lowest exponents.
• #### Calculate online the greatest common factor, GCF.

• Divide the numerator and the denominator of each fraction by their greatest common factor, GCF - after this operation the fraction is reduced to its lowest terms equivalent.

• #### 2. Calculate the least common multiple, LCM, of all the fractions' new denominators:

• LCM is going to be the common denominator of the added fractions.
• Factor all the new denominators of the reduced fractions (run the prime factorization).
• The least common multiple, LCM, is the product of all the unique prime factors of the denominators, taken by the largest exponents.

• #### 3. Calculate each fraction's expanding number:

• The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of each fraction, in order to build all the fractions up to the same common denominator.
• Divide the least common multiple, LCM, calculated above, by each fraction's denominator, in order to calculate each fraction's expanding number.
• #### 4. Expand each fraction:

• Multiply each fraction's both numerator and denominator by expanding number.
• At this point, fractions are built up to the same denominator.
• #### 5. Add the fractions:

• In order to add all the fractions simply add all the fractions' numerators.
• The end fraction will have as a denominator the least common multiple, LCM, calculated above.