# 10/212 + 7 = ? Adding Ordinary (Simple, Common) Math Fractions Calculator, Addition Explained Step by Step

## The latest added fractions

 10/212 + 7 = ? Sep 26 19:26 UTC (GMT) 17/20 + 5/8 = ? Sep 26 19:26 UTC (GMT) 17/114 + 858/16 = ? Sep 26 19:25 UTC (GMT) 1,008/7 - 1,008/6 - 185/8 = ? Sep 26 19:25 UTC (GMT) - 41/6 - 23/9,247 = ? Sep 26 19:25 UTC (GMT) - 19/1,620 - 472/8 = ? Sep 26 19:25 UTC (GMT) - 210/35 - 81/44 = ? Sep 26 19:25 UTC (GMT) - 333/70 - 662/9 = ? Sep 26 19:25 UTC (GMT) 231/18 - 14/12 = ? Sep 26 19:25 UTC (GMT) 14/534 + 24/16 + 20/79 - 27/6 = ? Sep 26 19:25 UTC (GMT) 54/42,107 + 50 = ? Sep 26 19:25 UTC (GMT) - 22/62,363 + 81,716/8 = ? Sep 26 19:25 UTC (GMT) 69 - 131/21 = ? Sep 26 19:25 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.