Compare Fractions


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Understanding Fractions

Before comparing fractions, remember that a fraction has two parts:

  1. Numerator: The top number, showing how many parts we have.
  2. Denominator: The bottom number, showing into how many equal parts the whole is divided.

Methods to Compare Fractions

1. Common Denominator Method

The most straightforward way to compare fractions is to convert them to have the same denominator. Once they have the same denominator, you just compare the numerators.


  1. Find a common denominator (usually the least common multiple of the denominators).
  2. Convert each fraction to make their denominators the same.
  3. Compare the numerators.

2. Cross-Multiplication Method

This method involves cross-multiplying the fractions and comparing the results.


  1. Multiply the numerator of the first fraction by the denominator of the second.
  2. Multiply the numerator of the second fraction by the denominator of the first.
  3. Compare the two products.

Real-life Examples

Example 1: Using Common Denominator

Comparing 14 and 25

  1. Find a common denominator. The least common multiple of 4 and 5 is 20.
  2. Convert each fraction:
    • 14 becomes 1×54×5=520.
    • 25 becomes 2×45×4=820.
  3. Now compare 520 and 820. Since 8 is greater than 5, 25 is larger than 14.

Example 2: Using Cross-Multiplication

Comparing 37 and 48

  1. Cross-multiply:
    • 3×8=24
    • 4×7=28
  2. Compare 24 and 28. Since 28 is greater than 24, 48 (which simplifies to 12) is larger than 37.

Why Compare Fractions?

Comparing fractions is useful in everyday situations like cooking, dividing things equally among people, or understanding proportions in projects or crafts.


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