# How to Simplify the Fraction 14/21 [Simplified Form]

The fraction 14/21 is a proper fraction and 2/3 is its simplified form. In this post, we will learn how to simplify the fraction 14/21 (14 divided by 21) in its simplest form, that is, we will reduce the fraction 14/21 to the lowest terms.

Question: What is the simplified form of 14/21?

Solution:

For $\dfrac{14}{21}$, the numerator is 14 and the denominator is 21.

Step 1:

First, we will find the greatest common divisor (GCD) of the numerator and the denominator, that is, we will find

GCD (14, 21).

Step 2:

• Divisors of 14 are 1, 2, 7, and 14.
• Divisors of 21 are 1, 3, 7, and 21.

From above we see that 7 is the highest number that divides both 14 and 21. Thus, we can conclude

GCD (14, 21) = 7.

Step 3:

Divide both the numerator and the denominator by GCD (14, 21) = 7. By doing so, we get that

$\dfrac{14}{21}=\dfrac{14 \div 7}{21 \div 7}$

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

Thus, 2/3 is the simplified form of 14/21.

Remark: We have reduced the fraction14/21 to 2/3 and it is an equivalent fraction of 14/21.

Video Solution of 14/21 Simplified: