**Ordering Fractions with Different Denominators :**

In this section, you will learn, how to order fractions with different denominators.

To order fractions in the order from least to greatest or greatest to least, the denominators must be same.

To order fractions with different denominators, we have to follow the steps given below.

**Step 1 :**

Find the least common multiple (LCM) of all the denominators.

**Step 2 :**

**Mae the result of step 1 (LCM) as denominator for each fraction using multiplication.**

**Step 3 :**

**In step 2, all the fractions will be like fractions (Having same denominator). **

**Now, you can compare the values of numerators and order the fractions from least to greatest or greatest to least. **

**Step 4 : **

Substitute the corresponding original fractions in the order.

**Question 1 :**

Order the following fractions in the order from least to greatest :

3/4, 5/8, 11/12

**Solution :**

**Step 1 : **

Find least common multiple of the denominators.

LCM of (4, 8, 12) = 24

**Step 2 : **

Make each denominator as 24 using multiplication.

3/4 = (3 ⋅ 6) / (4 ⋅ 6) = 18/24

5/8 = (5 ⋅ 3) / (8 ⋅ 3) = 15/24

11/12 = (11 ⋅ 2) / (12 ⋅ 2) = 22/24

**Step 2 : **

Compare the numerators in the like fractions in step 2 and order them from least to greatest.

15/24, 18/24, 22/24

**Step 3 : **

Substitute the corresponding original fractions.

5/8, 3/4, 11/12

**Question 2 :**

Order the following fractions in the order from least to greatest :

3/4 , 2/5, 1/8

**Solution :**

**Step 1 : **

Find least common multiple of the denominators.

LCM of (4, 5, 8) = 40

**Step 2 : **

Make each denominator as 24 using multiplication.

3/4 = (3 ⋅ 10) / (4 ⋅ 10) = 30/40

2/5 = (2 ⋅ 8) / (5 ⋅ 8) = 16/40

1/8 = (1 ⋅ 5) / (8 ⋅ 5) = 5/40

**Step 2 : **

Compare the numerators in the like fractions in step 2 and order them from least to greatest.

5/40, 16/40, 30/40

**Step 3 : **

Substitute the corresponding original fractions.

1/8, 2/5, 3/4

**Question 3 :**

Order the following fractions in the order from least to greatest :

11/15 , 7/12, 17/20

**Solution :**

**Step 1 : **

Find least common multiple of the denominators.

LCM of (15, 12, 20) = 60

**Step 2 : **

Make each denominator as 24 using multiplication.

11/15 = (11 ⋅ 4) / (15 ⋅ 4) = 44/60

7/12 = (7 ⋅ 5) / (12 ⋅ 5) = 35/60

17/20 = (17 ⋅ 3) / (20 ⋅ 3) = 51/60

**Step 2 : **

Compare the numerators in the like fractions in step 2 and order them from least to greatest.

35/60, 44/60, 51/60

**Step 3 : **

Substitute the corresponding original fractions.

7/12, 11/15, 51/60

After having gone through the stuff given above, we hope that the students would have understood, how to order fractions with different denominators.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**