Is 2/3 or 3/4 bigger?

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Detailed Solution

When comparing fractions like 2/3 and 3/4, the simplest way to determine which is bigger is to either:

Method 1: Convert to Decimals

0.75 > 0.666, therefore 3/4 is bigger than 2/3.

Method 2: Cross Multiply

Cross multiplication avoids decimals altogether:

2 × 4 = 8, 3 × 3 = 9

Since 9 > 8, the fraction with the bigger product (3/4) is larger.

Answer:

3/4 is bigger than 2/3.

Example:

If you scored 2/3 of total marks versus 3/4 of total marks, you got 75% with 3/4 compared to 66.67% with 2/3. That’s a clear win for 3/4.

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