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

$\dfrac{10}{15}$ = $\dfrac{10 \div 5}{15 \div 5}$ = $\dfrac{2}{3}$.

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

$\dfrac{10}{15}$ = $\dfrac{2 \times 5}{3 \times 5}$

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

= 2/3

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

Have You Read These Fractions?

4/6 simplified

8/12 simplified

6/8 simplified

6/15 simplified

15/21 simplified

15/60 simplified

FAQs