which is biggest 2/3 or 4/5
Answers
Answer==>
2/3>4/5
0.66>0.8
therefore, 2/3 is bigger
Answer:
2/3 < 4/5
Step-by-step explanation:
2/3 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
2 is a prime number and 3 is a prime number;
4/5 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
4 = 22 and 5 is a prime number;
To sort fractions, build up their numerators the same.
Numerators' prime factorization:
2 is a prime number;
4 = 22;
For LCM, take all the unique prime factors, by the largest exponents:
LCM (2, 4) = 22 = 4
For fraction: 2/3 is: 4 ÷ 2 = 22 ÷ 2 = 2;
For fraction: 4/5 is: 4 ÷ 4 = 22 ÷ 22 = 1;
2/3 = (2 * 2)/(2 * 3) = 4/6;
4/5 = (1 * 4)/(1 * 5) = 4/5;
The larger the denominator the smaller the positive fraction.
::: Comparing operation :::
Final answer:
Fractions sorted in ascending order:
4/6 < 4/5
Initial fractions in ascending order:
2/3 < 4/5