9 1/64 : 1 17/74 Ratio Simplifier Calculator

Simplify Ratio 9 1/64 : 1 17/74 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.

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Simplify Ratio 9 1/64 : 1 17/74

Convert 9 1/64 as an Improper Fraction

Given Mixed Number is 9 1/64

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

The Whole Number is 9 and the fractional part is 1/64.

On adding them, they can be written as:

9/1 + 1/64

The L.C.M of the denominators 1 and 64 is 64.

The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 64.

9 x 64 + 1/64

576 + 1/64

After multiplying, the numerators 576 and 1 should be added.

577/64

The fraction value we get is 577/64.

After converting the Mixed Number 9 1/64 to the Improper Fraction,the result is 577/64.

Convert 1 17/74 as an Improper Fraction

Given Mixed Number is 1 17/74

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

The Whole Number is 1 and the fractional part is 17/74.

On adding them, they can be written as:

1/1 + 17/74

The L.C.M of the denominators 1 and 74 is 74.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 74.

1 x 74 + 17/74

74 + 17/74

After multiplying, the numerators 74 and 17 should be added.

91/74

The fraction value we get is 91/74.

After converting the Mixed Number 1 17/74 to the Improper Fraction,the result is 91/74.

Find LCM of 64 and 74 is 2368

Finding LCM of 64,74 by Common Division

Arrange the Inputs 64,74 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.

 2 64, 74 32, 37

As all the numbers left in the last row are co primes you need not do the common division process further.

To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 32 x 37 = 2368

Therefore, LCM of 64,74 is 2368

Finding LCM of 64,74 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(64, 74) = 2

LCM(64, 74) = ( 64 x 74 ) / 2

LCM(64, 74) = 4736 / 2

LCM(64, 74) = 2368

LCM of 64,74 is 2368

We now have:

21349/2368 : 2912/2368

= 21349 : 2912

Find GCF of 21349 and 2912 is 1

Finding GCF of 21349, 2912 using Factoring

Given Input numbers are 21349, 2912

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

Factors of 21349

List of positive integer factors of 21349 that divides 21349 without a remainder.

1, 37, 577, 21349

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

Greatest Common Factor

We found the factors of 21349, 2912 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 21349, 2912 is 1.

Therefore, GCF of numbers 21349, 2912 is 1

Finding GCF of 21349, 2912 using Prime Factorization

Given Input Data is 21349, 2912

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

Prime Factorization of 21349 is 37 x 577

Prime Factorization of 2912 is 2 x 2 x 2 x 2 x 2 x 7 x 13

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

Divide both terms by the GCF, 1:

21349 ÷ 1 = 21349

2912 ÷ 1 = 2912

Therefore the reduced ratio is 21349:2912

Ratio Simplifier calculations

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FAQs on Simplification of Ratios 9 1/64 : 1 17/74

1. What is Simplification of Ratios 9 1/64 : 1 17/74 ?

Simplification of Ratios 9 1/64 : 1 17/74 is 21349:2912

2. How to Simplify Ratios 9 1/64 : 1 17/74 ?

List the factors of both the terms individually. Find the GCF of 9 1/64 : 1 17/74 and divide both 9 1/64 : 1 17/74 with GCF and rewrite ratio in the simplest form.

3. How to say Ratios of 9 1/64 : 1 17/74 can’t be simplified further?

You can say Ratios of 9 1/64 : 1 17/74 can’t be simplified further when you get the GCF.