55/1,613 + 2,896/10,575 = ? Adding ordinary (common) fractions, online calculator, addition operation explained in detail. The answer, written in three ways. As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage.
55/1,613 + 2,896/10,575 = ?
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.
* Why do we try to reduce (simplify) the fractions?
By reducing the values of the numerators and the denominators of the fractions the calculations are easier to make.
A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.
* * *
The fraction: 55/1,613 is already reduced to the lowest terms. The numerator and denominator have no common prime factors. Their prime factorization: 55 = 5 × 11 1,613 is a prime number GCF (5 × 11; 1,613) = 1
The fraction: 2,896/10,575 is already reduced to the lowest terms. The numerator and denominator have no common prime factors. Their prime factorization: 2,896 = 24 × 181 10,575 = 32 × 52 × 47 GCF (24 × 181; 32 × 52 × 47) = 1
As a positive proper fraction: (the numerator < the denominator) 55/1,613 + 2,896/10,575 = 5,252,873/17,057,475
As a decimal number: 55/1,613 + 2,896/10,575 ≈ 0.31
As a percentage: 55/1,613 + 2,896/10,575 ≈ 30.8%
How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.
Fractions subtractions: the latest fractions subtracted by the users
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 the denominator of each fraction, in order to calculate each fraction\'s expanding number.
4. Expand each fraction:
Multiply each fraction\'s both numerator and denominator by the expanding number.
At this point, fractions are built up to the same denominator.
5. Subtract the fractions:
In order to subtract all the fractions simply subtract all the fractions\' numerators.
The end fraction will have as a denominator the least common multiple, LCM, calculated above.
6. Reduce the end fraction to the lowest terms, if needed.