What is the following fraction written as an equivalent fraction in simplest form? 84/112
To find an equivalent fraction in the simplest form, we need to divide both the numerator and the denominator of the given fraction, 84/112, by the greatest common factor (GCF) between them.
The prime factorization of 84 is 2 * 2 * 3 * 7.
The prime factorization of 112 is 2 * 2 * 2 * 2 * 7.
The shared prime factors are 2 * 2 * 7.
Dividing both the numerator and the denominator by the GCF, we get:
84 ÷ (2 * 2 * 7) = 6
112 ÷ (2 * 2 * 7) = 8
Therefore, the fraction 84/112 is equivalent to the fraction 6/8 in simplest form.