Difference Between Like and Unlike Fractions
The key difference between like fractions and unlike fractions in a single sentence: Like fractions have the same denominators, while unlike fractions have different denominators.
Like Fractions Vs Unlike Fractions
|Like Fractions||Unlike Fractions|
|Have the same denominators||Have different denominators|
|Numerators can be compared directly||Numerators cannot be compared directly|
|Addition and subtraction can be performed directly||Need to find a common denominator before addition or subtraction|
|Can be easily combined or compared||Need to be converted to like fractions before combining or comparing|
|Example: 1/4, 3/4, 5/4||Example: 2/5, 3/7, 4/9|
Difference between like and unlike fractions
- Like fractions have the same denominators.
- When the denominators are the same, the fractions have a similar structure and are easier to compare and perform operations on.
- For example, 1/4 and 3/4 are like fractions because they have the same denominator of 4.
- Unlike fractions have different denominators.
- When the denominators are different, the fractions have a different structure and cannot be compared or operated on directly.
- To compare or perform operations on unlike fractions, they need to be converted into like fractions by finding a common denominator.
- For example, 1/4 and 2/5 are unlike fractions because they have different denominators of 4 and 5, respectively. To compare or add these fractions, we need to find a common denominator, such as 20, and convert them into like fractions (5/20 and 8/20).