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1/5,3/4,9 1/12,5/8 Order Fractions from Least to Greatest

1/5,3/4,9 1/12,5/8 determine the order of fractions from least to greatest by using our free online Ordering Fractions Calculator & attain the result in no time.

Ordering Fractions of

Find the Order of 1/5,3/4,9 1/12,5/8 from Least to Greatest

Convert Mix Number 9 1/12 to fraction i.e. 109/12

Given Mixed Number is 9 1/12

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

The Whole Number is 9 and the fractional part is 1/12.

On adding them, they can be written as:

9/1 + 1/12

The L.C.M of the denominators 1 and 12 is 12.

The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 12.

9 x 12 + 1/12

108 + 1/12

After multiplying, the numerators 108 and 1 should be added.

109/12

The fraction value we get is 109/12.

After converting the Mixed Number 9 1/12 to the Improper Fraction,the result is 109/12.

The given inputs are 1/5,3/4,9 1/12,5/8

After coverting each input to fraction format we get 1/5,3/4,109/12,5/8

Separate the denominators 5,4,12,8

Calculate the LCM of 5,4,12,8 i.e. 120

Finding LCM of 5,4,12,8 by Common Division

Arrange the Inputs 5,4,12,8 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 5, 4, 12, 8
2 5, 2, 6, 4
5, 1, 3, 2

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 5 x 1 x 3 x 2 = 120

Therefore, LCM of 5,4,12,8 is 120

Finding LCM of 5,4,12,8 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(5, 4) = 1

LCM(5, 4) = ( 5 x 4 ) / 1

LCM(5, 4) = 20 / 1

LCM(5, 4) = 20


Step2:

Here we consider the LCM from the above i.e. 20 as first number and the next as 12

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(20, 12) = 4

LCM(20, 12) = ( 20 x 12 ) / 4

LCM(20, 12) = 240 / 4

LCM(20, 12) = 60


Step3:

Here we consider the LCM from the above i.e. 60 as first number and the next as 8

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(60, 8) = 4

LCM(60, 8) = ( 60 x 8 ) / 4

LCM(60, 8) = 480 / 4

LCM(60, 8) = 120

LCM of 5,4,12,8 is 120

Fractions after converting to a common denominator

24/120,90/120,1090/120,75/120

Arrange fractions in ascending order

24/120 < 75/120 < 90/120 < 1090/120

Ascending Order arrangements from Least to Greatest we get:

1/5 < 5/8 < 3/4 < 9 1/12

Ordering Fractions Calculation Examples

FAQs on 1/5,3/4,9 1/12,5/8 Ordering Fractions From Least to Greatest

1. What is the ascending order of 1/5,3/4,9 1/12,5/8 ?

The order of 1/5,3/4,9 1/12,5/8 from least to greatest is 1/5 < 5/8 < 3/4 < 9 1/12


2. How to Order 1/5,3/4,9 1/12,5/8 from least to greatest?

To order a given set of fractions 1/5,3/4,9 1/12,5/8 in ascending order from least to greatest, first, convert the mixed numbers to improper fractions and then find the LCD. Later, rewrite the equivalent fractions with the LCD and sort the list with the numerators of equivalent fractions to get final order of fractions ie., 1/5 < 5/8 < 3/4 < 9 1/12 .


3. How to Sort 1/5,3/4,9 1/12,5/8 list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 1/5,3/4,9 1/12,5/8 and click on the calculate button to see the result ie., 1/5 < 5/8 < 3/4 < 9 1/12 .