Simplify Ratio 3 31/88 : 8 47/80 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.




 

Simplify Ratio 3 31/88 : 8 47/80

Convert 3 31/88 as an Improper Fraction

Given Mixed Number is 3 31/88

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

The Whole Number is 3 and the fractional part is 31/88.

On adding them, they can be written as:

3/1 + 31/88

The L.C.M of the denominators 1 and 88 is 88.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 88.

3 x 88 + 31/88

264 + 31/88

After multiplying, the numerators 264 and 31 should be added.

295/88

The fraction value we get is 295/88.

After converting the Mixed Number 3 31/88 to the Improper Fraction,the result is 295/88.

Convert 8 47/80 as an Improper Fraction

Given Mixed Number is 8 47/80

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

The Whole Number is 8 and the fractional part is 47/80.

On adding them, they can be written as:

8/1 + 47/80

The L.C.M of the denominators 1 and 80 is 80.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 80.

8 x 80 + 47/80

640 + 47/80

After multiplying, the numerators 640 and 47 should be added.

687/80

The fraction value we get is 687/80.

After converting the Mixed Number 8 47/80 to the Improper Fraction,the result is 687/80.

Find LCM of 88 and 80 is 880

Finding LCM of 88,80 by Common Division

Arrange the Inputs 88,80 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 88, 80
2 44, 40
2 22, 20
11, 10

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 2 x 2 x 11 x 10 = 880

Therefore, LCM of 88,80 is 880

Finding LCM of 88,80 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(88, 80) = 8

LCM(88, 80) = ( 88 x 80 ) / 8

LCM(88, 80) = 7040 / 8

LCM(88, 80) = 880

LCM of 88,80 is 880

We now have:

2950/880 : 7557/880

= 2950 : 7557

Find GCF of 2950 and 7557 is 1

Finding GCF of 2950, 7557 using Factoring

Given Input numbers are 2950, 7557

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

Factors of 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950

Factors of 7557

List of positive integer factors of 7557 that divides 7557 without a remainder.

1, 3, 11, 33, 229, 687, 2519, 7557

Greatest Common Factor

We found the factors of 2950, 7557 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 2950, 7557 is 1.

Therefore, GCF of numbers 2950, 7557 is 1

Finding GCF of 2950, 7557 using Prime Factorization

Given Input Data is 2950, 7557

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

Prime Factorization of 2950 is 2 x 5 x 5 x 59

Prime Factorization of 7557 is 3 x 11 x 229

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

Divide both terms by the GCF, 1:

2950 ÷ 1 = 2950

7557 ÷ 1 = 7557

Therefore the reduced ratio is 2950:7557

FAQs on Simplification of Ratios 3 31/88 : 8 47/80

1. What is Simplification of Ratios 3 31/88 : 8 47/80 ?

Simplification of Ratios 3 31/88 : 8 47/80 is 2950:7557


2. How to Simplify Ratios 3 31/88 : 8 47/80 ?

List the factors of both the terms individually. Find the GCF of 3 31/88 : 8 47/80 and divide both 3 31/88 : 8 47/80 with GCF and rewrite ratio in the simplest form.


3. How to say Ratios of 3 31/88 : 8 47/80 can’t be simplified further?

You can say Ratios of 3 31/88 : 8 47/80 can’t be simplified further when you get the GCF.