**Ordering fractions and decimals worksheet :**

Worksheet on ordering fractions and decimals is much useful to the kids who are at the stage of learning fractions and decimal numbers.

Because, when they practice questions on ordering fractions and decimals, they will come to know the difference between fractions and decimals.

1. Order the numbers from least to greatest

3/4, 2/5, 0.125

2. Order the numbers from least to greatest.

5/6, 0.375, 1/4

3. Order the numbers from least to greatest.

9/10, 0.2, 0.7

4. Order the numbers from least to greatest.

0.81, 0.38, 1/5

5. Order the numbers from least to greatest.

0.1, 7/10, 0.3

**Question 1 :**

Order the numbers from least to greatest

3/4, 2/5, 0.125

**Solution :**

In the given sequence of numbers, we have both fractions and decimal numbers.

Let us do the following steps to order the given numbers.

**Step 1 :**

Convert the decimal number 0.125 as fraction.

Since there are three digits after the decimal point, we can write 0.125 as a fraction with 1000 as denominator.

Thus, we get

0.125 = 125/1000

0.125 = 1/8

**Step 2 : **

Now all the given terms are fractions.

They are

3/4, 2/5, 1/8

Now, we can use "Like fractions" method to order the above fractions.

In 3/4, 2/5 and 1/8, since the denominators are different, we have to convert these fractions as like fractions in order to compare them.

To make the given fractions as like fractions, let us use the LCM method.

LCM of (4,5 and 8) = 40

Now we have to make each fraction with the common denominator 40.

Multiply both numerator and denominator of the first fraction by 10

Multiply both numerator and denominator of the second fraction by 8

Multiply both numerator and denominator of the third fraction by 5

Now we can compare the fraction and order the fraction from least to greatest

The order of the given fractions from least to greatest is

1/8, 2/5, 3/4

or

0.125, 2/5, 3/4

**Question 2 :**

Order the numbers from least to greatest.

5/6, 0.375, 1/4

**Solution :**

In the given sequence of numbers, we have both fractions and decimal numbers.

Let us do the following steps to order the given numbers.

**Step 1 :**

Convert the decimal number 0.375 as fraction.

Since there are three digits after the decimal point, we can write 0.375 as a fraction with 1000 as denominator.

Thus, we get

0.375 = 375/1000

0.375 = 3/8

**Step 2 : **

Now all the given terms are fractions.

They are

5/6, 3/8, 1/4

Now, we can use "Like fractions" method to order the the above fractions.

In 5/6, 3/8 and 1/4, since the denominators are different, we have to convert these fractions as like fractions in order to compare them.

To make the given fractions as like fractions, let us use the LCM method.

LCM of (6, 8 and 4) = 24

Now we have to make each fraction with the common denominator 24.

Multiply both numerator and denominator of the first fraction by 4

Multiply both numerator and denominator of the second fraction by 3

Multiply both numerator and denominator of the third fraction by 6

Comparing the numerators in the above like fractions, the order of the given fractions from least to greatest is

1/4, 3/8, 5/6

or

1/4, 0.375, 5/6

**Question 3 :**

Order the numbers from least to greatest.

9/10, 0.2, 0.7

**Solution :**

In the given sequence of numbers, we have both fractions and decimal numbers.

We know that 9/10 = 0.9

Thus, we have 9/10, 0.2, 0.7 ----> 0.9, 0.2, 0.7

Comparing 0.9, 0.2, 0.7, we get the order of the given numbers from least to greatest is

0.2, 0.7, 0.9

or

0.2, 0.7, 9/10

**Question 4 :**

Order the numbers from least to greatest.

0.81, 0.38, 1/5

**Solution :**

In the given sequence of numbers, we have both fractions and decimal numbers.

We know that 1/5 = 0.2

Thus, we have 0.81, 0.38, 1/5 ----> 0.81, 0.38, 0.2

Comparing 0.81, 0.38, 0.2, we get the order of the given numbers from least to greatest is

0.2, 0.38, 0.81

or

1/5, 0.38, 0.81

**Question 5 :**

Order the numbers from least to greatest.

0.1, 7/10, 0.3

**Solution :**

In the given sequence of numbers, we have both fractions and decimal numbers.

We know that 7/10 = 0.7

Thus, we have 0.1, 7/10, 0.3 ----> 0.1, 0.7, 0.3

Comparing 0.1, 0.7, 0.3, we get the order of the given numbers from least to greatest is

0.1, 0.3, 0.7

or

0.1, 0.3, 7/10

After having gone through the stuff given above, we hope that the students would have understood "Ordering fractions and decimals worksheet".

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