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?
| Answer: The simplified form of 14/21 is 2/3. |
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:
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FAQs
Q1: What is the simplest form of 14/21?
Answer: The simplest form of 14/21 is equal to 2/3.
Q2: Write an equivalent fraction of 14/21.
Answer: 2/3 is an equivalent fraction of 14/21.