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  Posted by Danish Iqbal Satti on July 29, 2024 at 3:50 pm

  How do you compare mixed numbers?

  Pavini Lahoti replied 8 months, 3 weeks ago 2 Members · 1 Reply
• 1 Reply

• 

  Pavini Lahoti

  Member

  July 30, 2024 at 5:10 pm

  To compare mixed numbers, you can follow these steps:

  Convert the mixed numbers to improper fractions:

  For a mixed number like 3 1/2, you would convert it to the improper fraction 7/2.

  The formula to convert a mixed number to an improper fraction is:

  Improper Fraction = (Whole Number × Denominator) + Numerator) / Denominator

  Once you have both mixed numbers converted to improper fractions, you can compare them using the standard fraction comparison rules:

  Compare the numerators if the denominators are the same.

  Convert the fractions to a common denominator if the denominators are different, then compare the numerators.

  Here’s an example:

  Compare 3 1/2 and 4 1/4:

  Step 1: Convert the mixed numbers to improper fractions:

  3 1/2 = (3 × 2 + 1) / 2 = 7/2

  4 1/4 = (4 × 4 + 1) / 4 = 17/4

  Step 2: Compare the improper fractions:

  7/2 < 17/4 (since the numerators are different and 7 < 17)

  Therefore, 3 1/2 is less than 4 1/4.

  The key is to always convert mixed numbers to improper fractions before comparing them, as this allows you to use the standard fraction comparison rules.

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