Simplify Ratio 4 10/73 : 7 36/77 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.




 

Simplify Ratio 4 10/73 : 7 36/77

Convert 4 10/73 as an Improper Fraction

Given Mixed Number is 4 10/73

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

The Whole Number is 4 and the fractional part is 10/73.

On adding them, they can be written as:

4/1 + 10/73

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

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 73.

4 x 73 + 10/73

292 + 10/73

After multiplying, the numerators 292 and 10 should be added.

302/73

The fraction value we get is 302/73.

After converting the Mixed Number 4 10/73 to the Improper Fraction,the result is 302/73.

Convert 7 36/77 as an Improper Fraction

Given Mixed Number is 7 36/77

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

The Whole Number is 7 and the fractional part is 36/77.

On adding them, they can be written as:

7/1 + 36/77

The L.C.M of the denominators 1 and 77 is 77.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 77.

7 x 77 + 36/77

539 + 36/77

After multiplying, the numerators 539 and 36 should be added.

575/77

The fraction value we get is 575/77.

After converting the Mixed Number 7 36/77 to the Improper Fraction,the result is 575/77.

Find LCM of 73 and 77 is 5621

Finding LCM of 73,77 by Common Division

Arrange the Inputs 73,77 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 5621

Finding LCM of 73,77 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, 77) = 1

LCM(73, 77) = ( 73 x 77 ) / 1

LCM(73, 77) = 5621 / 1

LCM(73, 77) = 5621

LCM of 73,77 is 5621

We now have:

23254/5621 : 41975/5621

= 23254 : 41975

Find GCF of 23254 and 41975 is 1

Finding GCF of 23254, 41975 using Factoring

Given Input numbers are 23254, 41975

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

Factors of 23254

List of positive integer factors of 23254 that divides 23254 without a remainder.

1, 2, 7, 11, 14, 22, 77, 151, 154, 302, 1057, 1661, 2114, 3322, 11627, 23254

Factors of 41975

List of positive integer factors of 41975 that divides 41975 without a remainder.

1, 5, 23, 25, 73, 115, 365, 575, 1679, 1825, 8395, 41975

Greatest Common Factor

We found the factors of 23254, 41975 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 23254, 41975 is 1.

Therefore, GCF of numbers 23254, 41975 is 1

Finding GCF of 23254, 41975 using Prime Factorization

Given Input Data is 23254, 41975

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

Prime Factorization of 23254 is 2 x 7 x 11 x 151

Prime Factorization of 41975 is 5 x 5 x 23 x 73

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

Divide both terms by the GCF, 1:

23254 ÷ 1 = 23254

41975 ÷ 1 = 41975

Therefore the reduced ratio is 23254:41975

FAQs on Simplification of Ratios 4 10/73 : 7 36/77

1. What is Simplification of Ratios 4 10/73 : 7 36/77 ?

Simplification of Ratios 4 10/73 : 7 36/77 is 23254:41975


2. How to Simplify Ratios 4 10/73 : 7 36/77 ?

List the factors of both the terms individually. Find the GCF of 4 10/73 : 7 36/77 and divide both 4 10/73 : 7 36/77 with GCF and rewrite ratio in the simplest form.


3. How to say Ratios of 4 10/73 : 7 36/77 can’t be simplified further?

You can say Ratios of 4 10/73 : 7 36/77 can’t be simplified further when you get the GCF.