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Which fraction is greater out of 3/5, 5/8, 3/4, 5/10?

User Ljian
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Final answer:

The correct answer is option 3. To find which of the fractions 3/5, 5/8, 3/4, and 5/10 is greatest, we can convert them to decimals or find a common denominator. Both methods show that 3/4 is the largest fraction.

Step-by-step explanation:

To determine which fraction is greater out of 3/5, 5/8, 3/4, and 5/10, we can compare each fraction by converting them to decimals or finding a common denominator.

Firstly, let's convert the fractions to decimals:

  • 3/5 = 0.6
  • 5/8 = 0.625
  • 3/4 = 0.75
  • 5/10 = 0.5

By comparing these decimals, it is clear that 3/4 (which converts to 0.75) is the largest fraction.

If we choose to find a common denominator, let's pick 40, as it is a multiple of 5, 8, 4, and 10:

  • 3/5 = 24/40
  • 5/8 = 25/40
  • 3/4 = 30/40
  • 5/10 = 20/40

Using the common denominator method, we see that 3/4, or 30/40, is still the greatest fraction.

Your intuitive sense of fractions can also aid in determining that, for example, 3/4 is more than half (0.5) while others are closer to half or just over. Using intuition, alongside mathematical methods, ensures accurate comparison of fractions.

User Francesc Rosas
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