7 20/65 : 72 Ratio Simplifier Calculator

Simplify Ratio 7 20/65 : 72 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.
 

Simplify Ratio 7 20/65 : 72

Convert 7 20/65 as an Improper Fraction

Given Mixed Number is 7 20/65

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

The Whole Number is 7 and the fractional part is 20/65.

On adding them, they can be written as:

7/1 + 20/65

The L.C.M of the denominators 1 and 65 is 65.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 65.

7 x 65 + 20/65

455 + 20/65

After multiplying, the numerators 455 and 20 should be added.

475/65

The fraction value we get is 475/65.

On simplifying the fraction,we get:

95/13

After converting the Mixed Number 7 20/65 to the Improper Fraction,the result is 95/13.

Find LCM of 13 and 1 is 13

Finding LCM of 13,1 by Common Division

Arrange the Inputs 13,1 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 13

Finding LCM of 13,1 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(13, 1) = 1

LCM(13, 1) = ( 13 x 1 ) / 1

LCM(13, 1) = 13 / 1

LCM(13, 1) = 13

LCM of 13,1 is 13

We now have:

95/13 : 936/13

= 95 : 936

Find GCF of 95 and 936 is 1

Finding GCF of 95, 936 using Factoring

Given Input numbers are 95, 936

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

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Factor

We found the factors of 95, 936 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 95, 936 is 1.

Therefore, GCF of numbers 95, 936 is 1

Finding GCF of 95, 936 using Prime Factorization

Given Input Data is 95, 936

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Divide both terms by the GCF, 1:

95 ÷ 1 = 95

936 ÷ 1 = 936

Therefore the reduced ratio is 95:936

FAQs on Simplification of Ratios 7 20/65 : 72

1. What is Simplification of Ratios 7 20/65 : 72 ?

Simplification of Ratios 7 20/65 : 72 is 95:936

2. How to Simplify Ratios 7 20/65 : 72 ?

List the factors of both the terms individually. Find the GCF of 7 20/65 : 72 and divide both 7 20/65 : 72 with GCF and rewrite ratio in the simplest form.

3. How to say Ratios of 7 20/65 : 72 can’t be simplified further?

You can say Ratios of 7 20/65 : 72 can’t be simplified further when you get the GCF.