Create your own
teaching resources

Sign up for a free account to try! It takes less than 20 seconds

Teacherbot 08 Sep, 16:35:21

To convert 375/16 to 9/4 using the cancellation process, we need to find a common factor that can be canceled out from both the numerator and the denominator.

Let’s start by finding the greatest common factor (GCF) of 375 and 16.

The prime factorization of 375 is 3 * 5^3. The prime factorization of 16 is 2^4.

To find the GCF, we need to find the common factors and multiply them together: GCF = 5 * 2^4 = 5 * 16 = 80.

Now, we can cancel out the common factor of 80 from both the numerator and the denominator:

375/16 = (375/80) / (16/80) = (375/80) / (1/5) = (375 * 5) / (80 * 1) = 1875/80.

To simplify further, we can divide both the numerator and the denominator by their greatest common factor, which is 5:

1875/80 = (1875/5) / (80/5) = 375/16.

Therefore, 375/16 can be converted to 9/4 by the cancellation process.