Answer:
Step-by-step explanation:The operation of comparing fractions:
4/9 vs. 6/15
Reduce (simplify) fractions to their lowest terms equivalents:
4/9 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
4 = 22;
9 = 32;
6/15 = (2 × 3)/(3 × 5) = ((2 × 3) ÷ 3)/((3 × 5) ÷ 3) = 2/5;
Reduce (simplify) fractions to their simplest form, online calculator
Calculate LCM, the least common multiple of the numerators of the fractions
LCM will be the common numerator of the compared fractions.
The prime factorization of the numerators:
4 = 22;
2 is a prime number;
Multiply all the unique prime factors, by the largest exponents:
LCM (4, 2) = 22 = 4 Calculate the expanding number of each fraction
Divide LCM by the numerator of each fraction:
For fraction: 4/9 is 4 ÷ 4 = 22 ÷ 22 = 1;
For fraction: 2/5 is 4 ÷ 2 = 22 ÷ 2 = 2;
Expand the fractions
Build up all the fractions to the same numerator (which is LCM).
Multiply the numerators and the denominators by their expanding number:
4/9 = (1 × 4)/(1 × 9) = 4/9;
2/5 = (2 × 2)/(2 × 5) = 4/10;
