7 : 3 7/65 Ratio Simplifier Calculator

Simplify Ratio 7 : 3 7/65 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.
 

Simplify Ratio 7 : 3 7/65

Convert 3 7/65 as an Improper Fraction

Given Mixed Number is 3 7/65

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

The Whole Number is 3 and the fractional part is 7/65.

On adding them, they can be written as:

3/1 + 7/65

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

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 65.

3 x 65 + 7/65

195 + 7/65

After multiplying, the numerators 195 and 7 should be added.

202/65

The fraction value we get is 202/65.

After converting the Mixed Number 3 7/65 to the Improper Fraction,the result is 202/65.

Find LCM of 1 and 65 is 65

Finding LCM of 1,65 by Common Division

Arrange the Inputs 1,65 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 65

Finding LCM of 1,65 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(1, 65) = 1

LCM(1, 65) = ( 1 x 65 ) / 1

LCM(1, 65) = 65 / 1

LCM(1, 65) = 65

LCM of 1,65 is 65

We now have:

455/65 : 202/65

= 455 : 202

Find GCF of 455 and 202 is 1

Finding GCF of 455, 202 using Factoring

Given Input numbers are 455, 202

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

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Factor

We found the factors of 455, 202 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 455, 202 is 1.

Therefore, GCF of numbers 455, 202 is 1

Finding GCF of 455, 202 using Prime Factorization

Given Input Data is 455, 202

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 202 is 2 x 101

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

Divide both terms by the GCF, 1:

455 ÷ 1 = 455

202 ÷ 1 = 202

Therefore the reduced ratio is 455:202

FAQs on Simplification of Ratios 7 : 3 7/65

1. What is Simplification of Ratios 7 : 3 7/65 ?

Simplification of Ratios 7 : 3 7/65 is 455:202

2. How to Simplify Ratios 7 : 3 7/65 ?

List the factors of both the terms individually. Find the GCF of 7 : 3 7/65 and divide both 7 : 3 7/65 with GCF and rewrite ratio in the simplest form.

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

You can say Ratios of 7 : 3 7/65 can’t be simplified further when you get the GCF.