Ordering Decimals and Fractions

Decimals and Fractions:

Understanding the relationship between decimals and fractions and how to convert between them.

Ordering Decimals and Fractions

• Step 1: Convert fractions to decimals

• Step 2: Compare the converted decimals looking at the whole numbers, numerators, or decimal places.

• Step 3: Arrange the decimals or fractions in ascending or descending order based on the comparison.

Reorder

Reorder the following from least to greatest.

• 1/8

• 0.25

• 2/6

• 0.5

• 2/3

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

Reorder the following from least to greatest.

• 1/4

• 0.36

• 2/5

• 0.5

• 2/3

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

Reorder the following from greatest to least.

• 3/4

• 0.56

• 0.5

• 1/3

• 1/8

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Greater or Less than 1/2

When a numerator is exactly half the denominator, then the fraction is equivalent to 1/2 or 0.5.

EXAMPLE: 2/4 3/6 5/10 7/14

If the numerator is less than have the denominator, then the fraction is less than 1/2.

EXAMPLE: 1/4 2/6 4/10 3/14

If the numerator is greater than have the denominator, the fraction greater than 1/2.

EXAMPLE: 3/4 5/6 8/10 11/14

Multiple Select

Which are greater than 1/2?

• 2/6

• 7/8

• 2/4

• 6/10

• 2/8

Multiple Select

Which is less than 1/2

• 3/4

• 5/12

• 12/20

• 9/18

• 7/20

Match

Match the following

• 1/4

• 2/4

• 3/4

• 4/4

0.25

0.5

0.75

1

• 0.25

• 0.5

• 0.75

• 1

Match

Match the following?

• 1/6

• 2/3

• 1/8

• 1/10

• 1/100

0.166...

0.6666...

0.125

0.1

0.01

• 0.166...

• 0.6666...

• 0.125

• 0.1

• 0.01

Match

Match the Following

• 1/5

• 3/5

• 5/5

• 4/5

• 2/5

0.2

0.6

1

0.8

0.4

• 0.2

• 0.6

• 1

• 0.8

• 0.4