show how 3/4 and 9/12 are equivalent

3 answers

To show that 3/4 and 9/12 are equivalent, we need to simplify both fractions to their simplest form.

First, let's simplify 3/4:

The greatest common factor of 3 and 4 is 1 (since 3 and 4 have no common factors other than 1).
So, 3/4 is already in its simplest form.

Next, let's simplify 9/12:

The greatest common factor of 9 and 12 is 3.
Dividing both the numerator and denominator of 9/12 by 3, we get:
9 ÷ 3 = 3
12 ÷ 3 = 4

So, 9/12 simplifies to 3/4.

Therefore, 3/4 and 9/12 are equivalent fractions.
fraction it
To show equivalence in fraction form:

3/4 = 9/12

First, we can see that 3 multiplied by 3 equals 9 and 4 multiplied by 3 equals 12.

So, if we multiply the numerator and denominator of 3/4 by 3, we get:

3/4 x 3/3 = 9/12

Therefore, 3/4 is equivalent to 9/12.