What is 6 10 simplified

6/10 simplified in lowest terms provides the detailed information of what is the simplest form of 6/10, and the answer with steps help students to understand how to simplify the fraction in simplest form.

Simplify 6/10 in Lowest Terms 6/10 = (?)

6/10 = (2 x 3)/(2 x 5)

The simplest form of 6/10 is 3/5

where,

3/5 is the lowest term of 6/10.

The below solution with step by step work shows how to find what is the lowest term of 6/10. The fraction 6/10 simplified can be found by using anyone of the below two methods: 1. Prime factorization method,              2. GCF method.

Prime Factorization Method :

step 1 Observe the input parameters and what to be found:
Input values: Fraction = 6/10

what to be found:

step 2 Find the prime factors of the numerator of given fraction 6/10.
Prime factors of 6 = 2 x 3

step 3 Find the prime factors of the denominator of given fraction 6/10.
Prime factors of 10 = 2 x 5

step 4 Rewrite the fraction 6/10 in the form of prime factors as like the below:
6/10= (2 x 3) / (2 x 5)

step 5 Check and cancel the factors of 6 and 10 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (2 x 3) / (2 x 5)
= ( 3)/( 5)

step 6 Simplify and rewrite the fraction as like the below:
= 3/5
6/10 = 3/5 Hence,

the simplest form of 6/10 is 3/5.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values: Fraction = 6/10

what to be found:

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 6/10.

step 3 Divide the numerator and denominator of the fraction 6/10 by GCF 2:

step 4 Simplify the above expression:

3/5 is the simplified or lowest term of 6/10.

Fractions Simplifier Calculator

Here we answer questions like: Simplify 6/10 to lowest terms or how to simplify/reduce this fraction: 6/10? Read details below and use our calculator to learn more on how to reduce or simplify fractions.

There are some different ways to simplify or reduce a fraction. See some examples below:

Method 1 - Keep Dividing by a Small Number

Start by dividing both the top and bottom numbers of the fraction by the same number, and repeat this if necessary until it is impossible to divide. Begin dividing by a small number like 2, 3, 5, 7. For example,

• First divide both (numerator/denominator) by 2 to get 6/30.
• Divide both of those by 2 to get 3/15, then,
• Divide both of those by 3 to get 1/5.

In the fraction 1/5, 1 is only divisible by itself, and 5 is not divisible by other numbers than itself and 1, so the fraction has been simplified as much as possible. No further reduction is possible, so the answer is 1/5.

Method 2

To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the Greatest Common Factor (GCF or GCD). For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3. You can do this because the value of a fraction is not changed if both the numerator and denominator are multiplied or divided by the same number (other than zero).

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The simplest form of 6/10 is 3/5.

Steps to simplifying fractions

1. Find the GCD (or HCF) of numerator and denominator
   GCD of 6 and 10 is 2
2. Divide both the numerator and denominator by the GCD
   6 ÷ 2/10 ÷ 2
3. Reduced fraction: 3/5
   Therefore, 6/10 simplified to lowest terms is 3/5.

MathStep (Works offline)

Equivalent fractions: 12/20 3/5 18/30 30/50 42/70

More fractions: 12/10 6/20 18/10 6/30 7/10 6/115/10 6/9