Simplify Ratio 6 35/73 : 84 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.




 

Simplify Ratio 6 35/73 : 84

Convert 6 35/73 as an Improper Fraction

Given Mixed Number is 6 35/73

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

The Whole Number is 6 and the fractional part is 35/73.

On adding them, they can be written as:

6/1 + 35/73

The L.C.M of the denominators 1 and 73 is 73.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 73.

6 x 73 + 35/73

438 + 35/73

After multiplying, the numerators 438 and 35 should be added.

473/73

The fraction value we get is 473/73.

After converting the Mixed Number 6 35/73 to the Improper Fraction,the result is 473/73.

Find LCM of 73 and 1 is 73

Finding LCM of 73,1 by Common Division

Arrange the Inputs 73,1 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 73

Finding LCM of 73,1 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(73, 1) = 1

LCM(73, 1) = ( 73 x 1 ) / 1

LCM(73, 1) = 73 / 1

LCM(73, 1) = 73

LCM of 73,1 is 73

We now have:

473/73 : 6132/73

= 473 : 6132

Find GCF of 473 and 6132 is 1

Finding GCF of 473, 6132 using Factoring

Given Input numbers are 473, 6132

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

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Factors of 6132

List of positive integer factors of 6132 that divides 6132 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132

Greatest Common Factor

We found the factors of 473, 6132 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 473, 6132 is 1.

Therefore, GCF of numbers 473, 6132 is 1

Finding GCF of 473, 6132 using Prime Factorization

Given Input Data is 473, 6132

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 6132 is 2 x 2 x 3 x 7 x 73

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

Divide both terms by the GCF, 1:

473 ÷ 1 = 473

6132 ÷ 1 = 6132

Therefore the reduced ratio is 473:6132

FAQs on Simplification of Ratios 6 35/73 : 84

1. What is Simplification of Ratios 6 35/73 : 84 ?

Simplification of Ratios 6 35/73 : 84 is 473:6132


2. How to Simplify Ratios 6 35/73 : 84 ?

List the factors of both the terms individually. Find the GCF of 6 35/73 : 84 and divide both 6 35/73 : 84 with GCF and rewrite ratio in the simplest form.


3. How to say Ratios of 6 35/73 : 84 can’t be simplified further?

You can say Ratios of 6 35/73 : 84 can’t be simplified further when you get the GCF.