- 11/4,811 + 628/73 - 14/93 = ? Adding Ordinary (Simple, Common) Math Fractions Calculator, Addition Explained Step by Step

As a percentage: - 11/4,811 + 628/73 - 14/93 ≈ 844.99%

How to add the ordinary fractions: - 19/4,822 - 638/77 + 18/105

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

 - 11/4,811 + 628/73 - 14/93 = ? Jan 19 14:02 UTC (GMT) - 46/17 - 28/14 - 31/13 - 19/23 = ? Jan 19 14:02 UTC (GMT) 21/32 - 23/35 = ? Jan 19 14:02 UTC (GMT) 38/483 - 338/665 = ? Jan 19 14:02 UTC (GMT) - 18/2,538 + 45/14 = ? Jan 19 14:02 UTC (GMT) 11/16 + 29/24 = ? Jan 19 14:02 UTC (GMT) - 22/27 - 16/141,224 - 28/22 = ? Jan 19 14:02 UTC (GMT) 38 - 634/38 = ? Jan 19 14:02 UTC (GMT) 10/12 + 7/6 = ? Jan 19 14:02 UTC (GMT) 15 + 15 + 1 + 22 = ? Jan 19 14:02 UTC (GMT) - 19/83 + 30/14 - 32/16 - 18/30 + 21/11 + 63/80 - 20/9 - 73/17 = ? Jan 19 14:02 UTC (GMT) 11/6 - 3/4 = ? Jan 19 14:02 UTC (GMT) - 17/42 + 26/31 = ? Jan 19 14:02 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.