Simplify Ratio 2 42/86 : 6 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.




 

Simplify Ratio 2 42/86 : 6

Convert 2 42/86 as an Improper Fraction

Given Mixed Number is 2 42/86

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 2 and the fractional part is 42/86.

On adding them, they can be written as:

2/1 + 42/86

The L.C.M of the denominators 1 and 86 is 86.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 86.

2 x 86 + 42/86

172 + 42/86

After multiplying, the numerators 172 and 42 should be added.

214/86

The fraction value we get is 214/86.

On simplifying the fraction,we get:

107/43

After converting the Mixed Number 2 42/86 to the Improper Fraction,the result is 107/43.

Find LCM of 43 and 1 is 43

Finding LCM of 43,1 by Common Division

Arrange the Inputs 43,1 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

Given numbers has no common factors except 1. So, there LCM is their product i.e 43

Finding LCM of 43,1 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(43, 1) = 1

LCM(43, 1) = ( 43 x 1 ) / 1

LCM(43, 1) = 43 / 1

LCM(43, 1) = 43

LCM of 43,1 is 43

We now have:

107/43 : 258/43

= 107 : 258

Find GCF of 107 and 258 is 1

Finding GCF of 107, 258 using Factoring

Given Input numbers are 107, 258

To find the GCF of numbers using factoring list out all the factors of each number

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1, 107

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Factor

We found the factors of 107, 258 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 107, 258 is 1.

Therefore, GCF of numbers 107, 258 is 1

Finding GCF of 107, 258 using Prime Factorization

Given Input Data is 107, 258

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 107 is 107

Prime Factorization of 258 is 2 x 3 x 43

The above numbers do not have any common prime factor. So GCF is 1

Divide both terms by the GCF, 1:

107 ÷ 1 = 107

258 ÷ 1 = 258

Therefore the reduced ratio is 107:258

FAQs on Simplification of Ratios 2 42/86 : 6

1. What is Simplification of Ratios 2 42/86 : 6 ?

Simplification of Ratios 2 42/86 : 6 is 107:258


2. How to Simplify Ratios 2 42/86 : 6 ?

List the factors of both the terms individually. Find the GCF of 2 42/86 : 6 and divide both 2 42/86 : 6 with GCF and rewrite ratio in the simplest form.


3. How to say Ratios of 2 42/86 : 6 can’t be simplified further?

You can say Ratios of 2 42/86 : 6 can’t be simplified further when you get the GCF.