How to Simplify 10/15 in Simplest Form | 10/15 Simplified

The fraction 10/15 simplified into a fraction is equal to 2/3. In this post, we will learn how to simplify 10/15 in simplest form. That is, we will reduce 10/15 to lowest terms.

What is 10/15 in Simplest Form

Answer: 10/15 in simplest form is equal to 2/3.

Solution:

Simplify 10/15 by Division Method

To get 10/15 in its simplest form by the division method, we divide both 10 and 15 by their common divisors. As 10 and 15 are divisible by 5, dividing them by 5 we will get that

${\displaystyle \frac{10}{15}}$ = ${\displaystyle \frac{10÷5}{15÷5}}$ = ${\displaystyle \frac{2}{3}}$.

Note that both 2 and 3 are prime numbers. That is why, we cannot simplify the fraction 2/3 further.

Hence 2/3 is the simplified reduced form of 10/15 to the lowest terms.

Simplify 10/15 by Prime Factorization

Now, we reduce 10/15 to the lowest terms by the prime factorization method. The prime factorizations of 10 and 15 are given below.

10 = 2 × 5

15 = 3 × 5

This will give us

${\displaystyle \frac{10}{15}}$ = ${\displaystyle \frac{2\times 5}{3\times 5}}$

= ${\displaystyle \frac{2\times \cancel{5}}{3\times \cancel{5}}}$, here we cancel the common terms.

= 2/3

Thus, 10/15 in its simplest form is equal to the fraction 2/3.

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