- ^{31}/_{314,945} + ^{36}/_{10} = ? Adding Ordinary (Simple, Common) Math Fractions Calculator, Addition Explained Step by Step
- ^{31}/_{314,945} + ^{36}/_{10} = ?
Reduce (simplify) fractions to their lowest terms equivalents:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: - ^{31}/_{314,945} already reduced to the lowest terms. The numerator and denominator have no common prime factors. Their prime factorization: 31 is a prime number; 314,945 = 5 × 62,989; gcf (31; 5 × 62,989) = 1;
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.
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.
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.
6. Reduce the end fraction to the lowest terms, if needed.