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How to Order Fractions with Unlike Denominators

Fractions are important concept in math. It takes the form of $\frac{x}{y}$ here x is the numerator value and y is the denominator value. Ordering fractions means we can order the fractions into least value to greater value or else greater value to least value. Ordering Fractions with Unlike Denominators is some what similar to the fractions with unlike denominators. Only thing is we need to arrange the fractions in order ( either ascending or descending ). In this article we have to seen about the activities of ordering fractions with example problems.

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Steps for Ordering Unlike Fractions

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Ordering fractions with different denominators involves the following steps:

  • First we can check the denominator values of the fractions are equal or not.
  • Suppose it is same we can directly write the fractions based on the numerator values.
  • Suppose it is not same we can take the L.C.D for the denominator values then we can compare the numerator values.
  • The least to greater order is generally known as ascending order.
  • The greater to least order is generally known as descending order.


Example on Ordering Fractions With Unlike Denominators:

Solved Example

Question: Ordering the following fractions `11/4`, `7/2`, `5/8`
Solution:
 
The given fractions are `11/4` , `7/2` , `5/8`

Here the denominator values 4, 2 and 8 are not same, so we can take the L.C.D value for 2, 4, and 8. The L.C.D value is 8

Consider `11/4` x `2/2` =`22/8`

Consider `7/2` x `4/4` =`28/8`

Consider `5/8` x `1/1` =`5/8`

Now the denominator values are same so we can directly ordering the given fractions.

The ascending order is `5/8` , `22/8` ,` 28/8` that is `5/8` , `11/4` , `7/2`

The descending order is `28/8` , `22/8` , `5/8` that is `7/2` , `11/4` , `5/8`

 

Unlike Fractions Examples

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In this activity we can directly convert the given fractions into decimal form. For this we can divide the numerator term by denominator term. Finally we can order the decimal values.

Solved Example

Question: Ordering the following fractions `11/4` , `7/2` ,` 5/8`
Solution:
 
The given fractions are `11/4` , `7/2` , `5/8`

Consider `11/4` = 2.75

Consider `7/2` = 3.5

Consider `5/8` = 0.63

Now we can order the decimal values,

The ascending order is 0.63, 2.75, 3.5 that is `5/8` , `11/4` ,` 7/2`

The descending order is 3.5, 2.75, 0.63 that is `7/2` , `11/4` ,` 5/8`

 

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