Answer:
6/7
Explanation:
To express 48 cm : 56 cm as a fraction in simplest form, we need to find the greatest common factor (GCF) of 48 and 56 and divide both terms by it.
The prime factorization of 48 is 2 x 2 x 2 x 2 x 3, and the prime factorization of 56 is 2 x 2 x 2 x 7.
The GCF of 48 and 56 is 2 x 2 x 2, which is 8.
Therefore, we can simplify 48 cm : 56 cm as:
48 cm : 56 cm = (48/8) cm : (56/8) cm = 6 cm : 7 cm
So, 48 cm : 56 cm as a fraction in simplest form is 6/7.