The fraction 15/21 simplified as a fraction is equal to 5/7. In this post, we will learn how to simplify the fraction 15/21 (15 divided by 21) in its simplest form, that is, we will reduce the fraction 15/21 to the lowest terms.
Question: What is the simplified form of 15/21?
Answer: The simplified form of 15/21 is 5/7. |
Solution:
For $\dfrac{15}{21}$, the numerator is 15 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 (15, 21).
Step 2:
- Divisors of 15 are 1, 3, 5, and 15.
- Divisors of 21 are 1, 3, 7, and 21.
From above we see that 3 is the highest number that divides both 15 and 21. Thus, we can conclude
GCD (15, 21) = 3.
Step 3:
Divide both the numerator and the denominator by GCD (15, 21) = 3. By doing so, we get that
$\dfrac{15}{21}=\dfrac{15 \div 3}{21 \div 3}$
= $\dfrac{5}{7}$.
Thus, 5/7 is the simplest reduced form of 15/21.
Remark: We have reduced the fraction 15/21 in its lowest terms to 5/7. Note that 5/7 is an equivalent fraction of 15/21.
Video Solution of 15/21 Simplified:
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14/21 Simplified: 14/21 simplified to lowest terms is 2/3.
FAQs
Q1: What is the simplified lowest form of 15/21?
Answer: 15/21 simplified to lowest terms is 5/7.
Q2: Write an equivalent fraction of 15/21.
Answer: 5/7 is an equivalent fraction of 15/21.