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6,7/69,7/45,0.16,50% Order Fractions from Least to Greatest

6,7/69,7/45,0.16,50% 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 6,7/69,7/45,0.16,50% from Least to Greatest

Convert 0.16 decimal to fraction

Given Decimal is 0.16.

The number of decimals after the point are 2.

The Decimal is divided with 100.

The Fraction can be written as,

= 016/100

= 4/25

The given decimal 0.16 in fraction form is 4/25.

Convert 50% to fraction i.e. 1/2

Given Input Value = 50%

Place the Percentage Value at the top over 100.

= 50/100

The given fraction is 50/100

On reducing the fraction, we get the exact form

50/100

= 1/2

The exact form of the fraction is 1/2.

In the decimal form, the fraction can be written as 0.5.

The fraction can be written as 1/2.

The given inputs are 6,7/69,7/45,0.16,50%

After coverting each input to fraction format we get 6/1,7/69,7/45,4 / 25,1/2

Separate the denominators 1,69,45,25,2

Calculate the LCM of 1,69,45,25,2 i.e. 10350

Finding LCM of 1,69,45,25,2 by Common Division

Arrange the Inputs 1,69,45,25,2 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.

3 1, 69, 45, 25, 2
5 1, 23, 15, 25, 2
1, 23, 3, 5, 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. 3 x 5 x 1 x 23 x 3 x 5 x 2 = 10350

Therefore, LCM of 1,69,45,25,2 is 10350

Finding LCM of 1,69,45,25,2 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, 69) = 1

LCM(1, 69) = ( 1 x 69 ) / 1

LCM(1, 69) = 69 / 1

LCM(1, 69) = 69


Step2:

Here we consider the LCM from the above i.e. 69 as first number and the next as 45

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

GCF(69, 45) = 3

LCM(69, 45) = ( 69 x 45 ) / 3

LCM(69, 45) = 3105 / 3

LCM(69, 45) = 1035


Step3:

Here we consider the LCM from the above i.e. 1035 as first number and the next as 25

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

GCF(1035, 25) = 5

LCM(1035, 25) = ( 1035 x 25 ) / 5

LCM(1035, 25) = 25875 / 5

LCM(1035, 25) = 5175


Step4:

Here we consider the LCM from the above i.e. 5175 as first number and the next as 2

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

GCF(5175, 2) = 1

LCM(5175, 2) = ( 5175 x 2 ) / 1

LCM(5175, 2) = 10350 / 1

LCM(5175, 2) = 10350

LCM of 1,69,45,25,2 is 10350

Fractions after converting to a common denominator

62100/10350,1050/10350,1610/10350,1656/10350,5175/10350

Arrange fractions in ascending order

1050/10350 < 1610/10350 < 1656/10350 < 5175/10350 < 62100/10350

Ascending Order arrangements from Least to Greatest we get:

7/69 < 7/45 < 0.16 < 50% < 6

Ordering Fractions Calculation Examples

FAQs on 6,7/69,7/45,0.16,50% Ordering Fractions From Least to Greatest

1. What is the ascending order of 6,7/69,7/45,0.16,50% ?

The order of 6,7/69,7/45,0.16,50% from least to greatest is 7/69 < 7/45 < 0.16 < 50% < 6


2. How to Order 6,7/69,7/45,0.16,50% from least to greatest?

To order a given set of fractions 6,7/69,7/45,0.16,50% 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., 7/69 < 7/45 < 0.16 < 50% < 6 .


3. How to Sort 6,7/69,7/45,0.16,50% list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 6,7/69,7/45,0.16,50% and click on the calculate button to see the result ie., 7/69 < 7/45 < 0.16 < 50% < 6 .