9/12 Simplified, Simplify 9/12 in Simplest Form

9/12 simplified as a fraction is equal to 3/4. Here we learn to simplify 9/12 in its simplest form, that is, we will reduce 9/12 to its lowest terms.

What is 9/12 in Simplest Form

Answer: The fraction 9/12 in simplest form is 3/4.

Solution:

We simplify 9/12 in simplest form by the prime factorization method. In this method, we need to write the prime factorizations of 9 and 12 which is given below:

9 = 3 × 3

12 = 2 × 2 × 3

Therefore, the fraction 9/12 will be equal to

$\dfrac{9}{12}$ = $\dfrac{3 \times 3}{2 \times 2 \times 3}$

= $\dfrac{\cancel{3} \times 3}{2 \times 2 \times \cancel{3}}$, cancelling the common terms of the top and bottom.

= $\dfrac{3}{2 \times 2}$

= $\dfrac{3}{4}$

Therefore, 3/4 is equal to the fraction 9/12 in simplest form.

Reduce 9/12 to Lowest Terms

Answer: Reduced form of 9/12 to lowest terms is 3/4.

Solution:

Let us reduce the fraction 9/12 to lowest terms by the division method. We will divide both 9 and 12 by their greatest common divisor (gcd). Note that

gcd(9, 12) = 3.

Dividing both top and bottom of 9/12 by gcd(9, 12) = 3, we get that

$\dfrac{9}{12}$ = $\dfrac{9 \div 3}{12 \div 3}$ = $\dfrac{3}{4}$.

So 9/12 simplified to lowest terms is 3/4.

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