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Activity Discussion Math Maths Reply To: Maths

• ### Pavini

Member
July 30, 2024 at 5:10 pm
0

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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