# Comparing Like Fractions

In comparing like fractions it is always easy to compare two or more because their denominators are same.

To compare two like fractions it is just enough to compare their numerators. If there are two like fractions, then the fraction with greater numerator is greater.

For example:

⁹/₁₃ > ⁵/₁₃ or ⁵/₁₃ ⁹/₁₃ Also, ¹⁵/₇ > ¹³/₇ or ¹³/₇ < ¹⁵/₇

Three or more like fractions can be arranged in ascending or descending order by arranging their numerators in ascending or descending order.

For example:

The fractions, ¹³/₈, ⁵/₈, ⁷/₈, ¹/₈, ¹¹/₈, ¹⁵/₈ can be arranged in ascending order as ¹/₈ < ⁵/₈ < ⁷/₈ < ¹¹/₈ < ¹³/₈ < ¹⁵/₈.

Similarly, the fractions ³/₁₁, ¹/₁₁, ⁸/₁₁, ⁶/₁₁, ⁷/₁₁, ⁹/₁₁ can be arranged in descending order as ⁹/₁₁ < ⁸/₁₁ < ⁷/₁₁ < ⁶/₁₁ < ³/₁₁ < ¹/₁₁.

For example:

1. Compare the following fractions and put an appropriate signs < or >.

(i) ⁵/₁₆ __ ²/₁₆

Solution:

⁵/₁₆ > ²/₁₆

(ii) 3/6 __ 0/6

Solution:

3/6 > 0/6

(iii) ¹/₉ __ ⁶/₉

Solution:

¹/₉ < ⁶/₉

(iv) ⁸/₁₂ __ ⁵/₁₂

Solution:

⁸/₁₂ > ⁵/₁₂

(v) ³/₁₁ __ ⁵/₁₁

Solution:

³/₁₁ < ⁵/₁₁

(vi) 4/15 __ 0/15

Solution:

4/15 > 0/15

(vii) ²/₂₀ __ ⁴/₂₀

Solution:

²/₂₀ < ⁴/₂₀

(viii) ¹/₁₇ __ ¹³/₁₇

Solution:

¹/₁₇  < ¹³/₁₇

2. Arrange ³/₈, ⁶/₈, ⁴/₈ in ascending order

Solution:

³/₈, ⁴/₈, ⁶/₈.

3. Arrange ⁶/₉, ⁴/₉, ⁸/₉, ³/₉ in ascending order

Solution:

³/₉, ⁴/₉, ⁶/₉, ⁸/₉.

4. Arrange ³/₆, ⁴/₆, ²/₆, ¹/₆, ⁵/₆, ⁶/₆ in descending order.

Solution:

⁶/₆, ⁵/₆, ⁴/₆, ³/₆, ²/₆, ¹/₆

5. Arrange ²/₉, ⁷/₉, ³/₉, ⁴/₉, ¹/₉, ⁶/₉, ⁵/₉ in descending order.

Solution:

⁷/₉, ⁶/₉, ⁵/₉, ⁴/₉, ³/₉, ²/₉, ¹/₉

Representations of Fractions on a Number Line

Fraction as Division

Types of Fractions

Conversion of Mixed Fractions into Improper Fractions

Conversion of Improper Fractions into Mixed Fractions

Equivalent Fractions

Fractions in Lowest Terms

Like and Unlike Fractions

Comparing Like Fractions

Comparing Unlike Fractions

Addition and Subtraction of Like Fractions

Addition and Subtraction of Unlike Fractions

Inserting a Fraction between Two Given Fractions