Simplify Ratio 3 3/62 : 98 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.




 

Simplify Ratio 3 3/62 : 98

Convert 3 3/62 as an Improper Fraction

Given Mixed Number is 3 3/62

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

The Whole Number is 3 and the fractional part is 3/62.

On adding them, they can be written as:

3/1 + 3/62

The L.C.M of the denominators 1 and 62 is 62.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 62.

3 x 62 + 3/62

186 + 3/62

After multiplying, the numerators 186 and 3 should be added.

189/62

The fraction value we get is 189/62.

After converting the Mixed Number 3 3/62 to the Improper Fraction,the result is 189/62.

Find LCM of 62 and 1 is 62

Finding LCM of 62,1 by Common Division

Arrange the Inputs 62,1 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 62

Finding LCM of 62,1 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(62, 1) = 1

LCM(62, 1) = ( 62 x 1 ) / 1

LCM(62, 1) = 62 / 1

LCM(62, 1) = 62

LCM of 62,1 is 62

We now have:

189/62 : 6076/62

= 189 : 6076

Find GCF of 189 and 6076 is 7

Finding GCF of 189, 6076 using Factoring

Given Input numbers are 189, 6076

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

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

Greatest Common Factor

We found the factors of 189, 6076 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 189, 6076 is 7.

Therefore, GCF of numbers 189, 6076 is 7

Finding GCF of 189, 6076 using Prime Factorization

Given Input Data is 189, 6076

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 6076 is 2 x 2 x 7 x 7 x 31

Highest common occurrences in the given inputs are 71

Multiplying them we get the GCF as 7

Divide both terms by the GCF, 7:

189 ÷ 7 = 27

6076 ÷ 7 = 868

Therefore the reduced ratio is 27:868

FAQs on Simplification of Ratios 3 3/62 : 98

1. What is Simplification of Ratios 3 3/62 : 98 ?

Simplification of Ratios 3 3/62 : 98 is 27:868


2. How to Simplify Ratios 3 3/62 : 98 ?

List the factors of both the terms individually. Find the GCF of 3 3/62 : 98 and divide both 3 3/62 : 98 with GCF and rewrite ratio in the simplest form.


3. How to say Ratios of 3 3/62 : 98 can’t be simplified further?

You can say Ratios of 3 3/62 : 98 can’t be simplified further when you get the GCF.