10/61 + 19/995 = ? Adding Ordinary (Simple, Common) Math Fractions Calculator, Addition Explained Step by Step

As a percentage: 10/61 + 19/995 ≈ 18.3%

How to subtract the ordinary fractions: - 15/70 - 26/1,007

Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;

 10/61 + 19/995 = ? Jan 18 17:12 UTC (GMT) 13/11 + 7/12 + 101 + 132 = ? Jan 18 17:12 UTC (GMT) 24/258 + 50/20 = ? Jan 18 17:12 UTC (GMT) 269/11 - 11/23 = ? Jan 18 17:12 UTC (GMT) - 36/21 + 30/29 = ? Jan 18 17:12 UTC (GMT) 24/18 - 24/37 - 13/42 = ? Jan 18 17:12 UTC (GMT) 13/69 + 19 - 13/5 - 5/1,213 + 6 - 12/15 = ? Jan 18 17:12 UTC (GMT) 11/7 + 23/7 + 6 + 7 = ? Jan 18 17:12 UTC (GMT) 49/1,021 + 10/3 = ? Jan 18 17:12 UTC (GMT) 3 + 6 + 17 = ? Jan 18 17:12 UTC (GMT) 35/8 - 9/3 = ? Jan 18 17:12 UTC (GMT) - 126/138 + 30 = ? Jan 18 17:12 UTC (GMT) - 7/23 - 18/23 - 9/13 - 24/11 = ? Jan 18 17:12 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.

• 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.