Question

please solve this question

Answer 1

Comparing fractions operation: 
1/3 vs. 7/10

Reduce (simplify) fractions to their lowest terms equivalents:

1/3 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization: 
1 cannot be prime factorized and 3 is a prime number;

7/10 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization: 
7 is a prime number and 10 = 2 * 5;

To sort fractions, build up their numerators the same.

Expand the fraction having 1 as a numerator (build up fraction by multiplying its numerator and denominator by the same number), so that the numerators are the same:

1/3 = (7 * 1)/(7 * 3) = 7/21;

Fractions have equal numerators, simply compare their denominators.

The larger the denominator the smaller the positive fraction.

::: Comparing operation ::: 
Final answer:

Fractions sorted in ascending order: 
7/21 < 7/10 

Initial fractions in ascending order: 
1/3 < 7/10


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