7 6/69 : 3 23/76 Ratio Simplifier Calculator

Simplify Ratio 7 6/69 : 3 23/76 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.
 

Simplify Ratio 7 6/69 : 3 23/76

Convert 7 6/69 as an Improper Fraction

Given Mixed Number is 7 6/69

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

The Whole Number is 7 and the fractional part is 6/69.

On adding them, they can be written as:

7/1 + 6/69

The L.C.M of the denominators 1 and 69 is 69.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 69.

7 x 69 + 6/69

483 + 6/69

After multiplying, the numerators 483 and 6 should be added.

489/69

The fraction value we get is 489/69.

On simplifying the fraction,we get:

163/23

After converting the Mixed Number 7 6/69 to the Improper Fraction,the result is 163/23.

Convert 3 23/76 as an Improper Fraction

Given Mixed Number is 3 23/76

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

The Whole Number is 3 and the fractional part is 23/76.

On adding them, they can be written as:

3/1 + 23/76

The L.C.M of the denominators 1 and 76 is 76.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 76.

3 x 76 + 23/76

228 + 23/76

After multiplying, the numerators 228 and 23 should be added.

251/76

The fraction value we get is 251/76.

After converting the Mixed Number 3 23/76 to the Improper Fraction,the result is 251/76.

Find LCM of 23 and 76 is 1748

Finding LCM of 23,76 by Common Division

Arrange the Inputs 23,76 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 1748

Finding LCM of 23,76 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(23, 76) = 1

LCM(23, 76) = ( 23 x 76 ) / 1

LCM(23, 76) = 1748 / 1

LCM(23, 76) = 1748

LCM of 23,76 is 1748

We now have:

12388/1748 : 5773/1748

= 12388 : 5773

Find GCF of 12388 and 5773 is 1

Finding GCF of 12388, 5773 using Factoring

Given Input numbers are 12388, 5773

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

Factors of 12388

List of positive integer factors of 12388 that divides 12388 without a remainder.

1, 2, 4, 19, 38, 76, 163, 326, 652, 3097, 6194, 12388

Factors of 5773

List of positive integer factors of 5773 that divides 5773 without a remainder.

1, 23, 251, 5773

Greatest Common Factor

We found the factors of 12388, 5773 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 12388, 5773 is 1.

Therefore, GCF of numbers 12388, 5773 is 1

Finding GCF of 12388, 5773 using Prime Factorization

Given Input Data is 12388, 5773

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

Prime Factorization of 12388 is 2 x 2 x 19 x 163

Prime Factorization of 5773 is 23 x 251

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

Divide both terms by the GCF, 1:

12388 ÷ 1 = 12388

5773 ÷ 1 = 5773

Therefore the reduced ratio is 12388:5773

FAQs on Simplification of Ratios 7 6/69 : 3 23/76

1. What is Simplification of Ratios 7 6/69 : 3 23/76 ?

Simplification of Ratios 7 6/69 : 3 23/76 is 12388:5773

2. How to Simplify Ratios 7 6/69 : 3 23/76 ?

List the factors of both the terms individually. Find the GCF of 7 6/69 : 3 23/76 and divide both 7 6/69 : 3 23/76 with GCF and rewrite ratio in the simplest form.

3. How to say Ratios of 7 6/69 : 3 23/76 can’t be simplified further?

You can say Ratios of 7 6/69 : 3 23/76 can’t be simplified further when you get the GCF.