What is the simplest form of the ratio of 12:6

A ratio of 12 to 6 can be written as 12 to 6, 12:6, or 12/6. Furthermore, 12 and 6 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on. A ratio of 12 to 6 simply means that for every 12 of something, there are 6 of something else, with a total of 18. In the box below, you can enter a number in either box and we will calculate the other number to keep the ratio of 12 to 6. In other words, we will calculate the corresponding equivalent ratio of 12:6 for you. To calculate the left side of the ratio, our calculator multiplies the right side by 12 and then divides the product by 6. To calculate the right side of the ratio, our calculator multiplies the left side by 6 and then divides the product by 12. Answers are rounded to two decimals if necessary. Below is a list of equivalent ratios of 12:6 that we created using our 12:6 ratio calculator above. We have also created a pie chart for you to put 12:6 ratio in perspective. To do so, we divided a pie into 18 pieces and then colored 12 pieces green and 6 pieces blue. The pie will look exactly the same using any equivalent ratio of 12:6.

Table of Contents Show

What is a Ratio?
How to Simplify a Ratio A : B when A and B are both whole numbers
How to Simplify a Ratio A : B when A and B are not whole numbers, in this order
Example: Simplify the ratio 6 : 10
Example: Simplify the ratio 8 : 36
Example: Simplify the ratio 3 : 8
Related Calculators

The green part of the pie covers 66.67% and the blue part covers 33.33%. To calculate the percentages, we divided each side of the ratio by its total and then multiplied by 100, like this: (12 / 18)×100 ≈ 66.67 (6 / 18)×100 ≈ 33.33 In fractional terms, 12/6 of the pie above is colored in green. This means that the ratio of 12 to 6 or 12:6 can also be expressed as a fraction, where the 12 to the left of the colon is the numerator and the 6 to the right of the colon is the denominator: 12:6 = 12/6 Ratio is often used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other kind of length. With a ratio of 12 to 6, the width is 12 and the height is 6. Below is a picture of what a rectangle with a ratio of 12:6 looks like.

Since the simplest form of the fraction 12/6 is 2/1, the simplest form of the ratio 12:6 is also 2:1.
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12/6 simplified in lowest terms provides the detailed information of what is the simplest form of 12/6, and the answer with steps help students to understand how to simplify the fraction in simplest form.

Simplify 12/6 in Lowest Terms 12/6 = (?)

12/6 = (2 x 2 x 3)/(2 x 3)

= 2/1 12/6 = 2/1

The simplest form of 12/6 is 2/1

where,

12/6 is the given fraction to be simplified,

2/1 is the lowest term of 12/6.

The below solution with step by step work shows how to find what is the lowest term of 12/6. The fraction 12/6 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 = 12/6

what to be found:

12/6 = ? Find what is the lowest term of 12/6.

step 2 Find the prime factors of the numerator of given fraction 12/6.
Prime factors of 12 = 2 x 2 x 3

step 3 Find the prime factors of the denominator of given fraction 12/6.
Prime factors of 6 = 2 x 3

step 4 Rewrite the fraction 12/6 in the form of prime factors as like the below:
12/6= (2 x 2 x 3) / (2 x 3)

step 5 Check and cancel the factors of 12 and 6 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (2 x 2 x 3) / (2 x 3)
= ( 2 )/(1)

step 6 Simplify and rewrite the fraction as like the below:
= 2/1
12/6 = 2/1 Hence,

the simplest form of 12/6 is 2/1.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values: Fraction = 12/6

what to be found:

12/6 = ? Find what is the lowest term of 12/6.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 12/6.

The GCF of 12 and 6 is 6.

step 3 Divide the numerator and denominator of the fraction 12/6 by GCF 6:

= (12/6)(6/6)

step 4 Simplify the above expression:

= (12/6)(6/6)
= 2/1
12/6 = 2/1 Hence,

2/1 is the simplified or lowest term of 12/6.

12:6 = 2:1 (the simplest form)12:6 can be divided by 2 on both sides making it 6:3. Then you can divide by 3 making it 2:1. Remember 12:6 is the same thing as 12/6.

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Use this calculator to simplify ratios of the form A : B. A or B can be whole numbers, integers, decimal numbers, fractions or mixed numbers. They can be different types, for example, one fraction and one decimal. The ratio values can be positive or negative.

This calculator simplifies ratios by converting all values to whole numbers then reducing the whole numbers to lowest terms using the greatest common factor (GCF). The full solution shows all work and the steps to get a ratio into simplest form.

What is a Ratio?

A ratio is a comparison of the value of two numbers. The ratio A : B is read as "A to B" and describes the relative proportion of two amounts.

How to Simplify a Ratio A : B when A and B are both whole numbers

List the factors of A
List the factors of B
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF
Use the whole number results to rewrite the ratio in simplest form

If the GCF = 1 then the ratio is already in simplest form.

How to Simplify a Ratio A : B when A and B are not whole numbers, in this order

If A or B are mixed numbers convert mixed numbers to improper fractions
If A or B are decimal numbers multiply both values by the same factor of 10 that will eliminate all decimal places
If one value is a fraction and the other a whole number, reduce the fraction to a whole number if you can or turn the whole number into a fraction by giving it a denominator of 1.
If both A and B are fractions and have like denominators, multiply both fractions by the denominator to eliminate it and you are left with two whole numbers
If both A and B are fractions and have unlike denominators, find the LCD(A, B) and rewrite the fractions with the LCD as the denominator. Multiply both fractions by the denominator to eliminate it and you are left with two whole numbers
If both A and B are whole numbers, Find the greatest common factor of A and B, GCF(A, B), and divide A and B each by the GCF