6/15 Simplified, Simplify 6/15 in Simplest Form

6/15 simplified, as a fraction, is equal to 2/5. That is, 2/5 is the simplest reduced form of 6/15. In this post, we will learn how to simplify 6/15 in simplest form and find the fraction 6/15 simplified to lowest terms.

What is 6/15 in Simplest Form

Answer: 6/15 in simplest form equals 2/5.

Solution:

[Method 1: Division Method]

To simplify the fraction 6/15 in its simplest form, we will use the division method. Here we will divide both 6 and 15 by their common divisors. Note that both 6 and 15 are divisible by 3. So dividing them by 3 we get that

$\dfrac{6}{15}$ = $\dfrac{6 \div 3}{15 \div 3}$ = $\dfrac{2}{5}$.

As both 2 and 5 are prime numbers, they will be divisible by 1 only, so we cannot simplify 2/5 further.

So 2/5 is the simplified reduced form of 6/15 to lowest terms.

[Method 2: Prime Factorization Method]

To reduce the fraction 6/15 by the prime factorization method, let us first write the prime factorizations of 6 and 15.

6 = 2 × 3

15 = 3 × 5

Using it, we will get that

$\dfrac{6}{15}$ = $\dfrac{2 \times 3}{3 \times 5}$

= $\dfrac{2 \times \cancel{3}}{\cancel{3} \times 5}$, cancelling the common terms.

= 2/5

Hence 6/15 in its simplest form is equal to 2/5.

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