Is 13/14 Equivalent to 25/28

NO.

Step-by-step explanation:

    13/14 already reduced to the lowest terms;  

the numerator and the denominator have no common prime factors:  

13 is a prime number;  14 = 2 × 7.

    25/28 already reduced to the lowest terms;  

the numerator and the denominator have no common prime factors:

28=5^2 ; 282^2×  7.

The prime factorization of the denominators ; 14=2× 7; 28=2^2× 7.

Multiply all the unique prime factors, by the largest exponents: LCM (14,28)=2^2× 7=28;

Divide LCM by the denominator of each fraction:

For fraction 13/14 is, 28÷ 14=(2^2×7)÷(2x7)=2;

For fraction 25/28 is 28÷28=(2^2×7)÷(2^2×7)=1;

Expland the fractions

Multiply the numerators and the denomonators by their expanding number:

13/14=(2x13)/(2x14)=16/28;

25/28=(1x25)/(1x18)=25/28;

The fraction sorted in ascending order: 25/28<26/28

The initial fractions in ascending order:25/28<13/14

      I think I did this right.