9/15 Simplified, Simplify 9/15 to Simplest Form

9/15 simplified as a fraction is equal to 3/5. Here we learn to write 9/15 (9 divided by 15) in its simplest form, that is, we will reduce the fraction 9/15 to its lowest terms.

• Simplify 9/15 in its simplest form is equal to 3/5.
• Reduce 9/15 to its lowest terms is equal to 3/5.

Let us now simplify the fraction 9/15 in its simplified form which is 3/5. There are two ways to simplify any fraction.

1. Divide both the numerator and the denominator of the given fraction by the greatest common divisor of the top and the bottom. The resultant fraction will be the simplified form of the given fraction.
2. Write the prime factorisations of the numerator and the denominator of the given fraction. Then cancel the common numbers appeared in the top and the bottom to reduce the fraction to its lowest terms.

Simplify 9/15 to its Simplest Form

We will follow below steps to simplify 9/15 to its simplest form.

Step 1:

To simplify 9/15 in its simplest form, let us divide both the numerator 9 and the denominator 15 by their greatest common divisor (GCD).

Step 2:

Let us now find the GCD of 9 and 15.

• The divisors of 9 are 1, 3, and 9.
• The divisors of 15 are 1, 3, 5, and 15.

Therefore, 3 is the highest number that divides both 9 and 15. So the greatest common divisor of 9 and 15 is 3. That is,

GCD (9, 15) = 3.

Step 3:

Divide the top and the bottom by GCD (9, 15) = 3.

$\dfrac{9}{15} = \dfrac{9 \div 3}{15 \div 3} = \dfrac{3}{5}$.

So the fraction 9/15 simplified in its simplest form is equal to 3/5.

Read Also: Fractions: Definition, Examples, Types, How to Simplify

How to Simplify the Fraction 9/15

The video solution on how to simplify 9/15 is provided below:

Reduce 9/15 to its Lowest Term

To reduce 9/15 in its lowest terms, we first write down the prime factorisations of both the numbers 9 and 15.

9 = 3 × 3

15 = 3 × 5

Therefore,

$\dfrac{9}{15} = \dfrac{3 \times 3}{3 \times 5}$

⇒ $\dfrac{9}{15} = \dfrac{\cancel{3} \times 3}{\cancel{3} \times 5}$, here we cancel the common number 3.

⇒ $\dfrac{9}{15} = \dfrac{3}{5}$

So the fraction 9/15 reduced to its lowest terms is equal to 3/5.

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