Is 3/4 greater than 5/8?

Understand the Problem

The question is asking for a comparison between two fractions, 3/4 and 5/8, to determine which one is larger.

Answer

\(\frac{3}{4}\) is greater than \(\frac{5}{8}\).
Answer for screen readers

Therefore, (\frac{3}{4}) is greater than (\frac{5}{8}).

Steps to Solve

  1. Convert the fractions to the same denominator

To compare the fractions, we will convert them to equivalent fractions with the same denominator. The least common denominator (LCD) of 4 and 8 is 8.

  1. Find the equivalent fraction of 3/4 with the denominator 8

Multiply both the numerator and the denominator of 3/4 by 2: $$\frac{3}{4} \times \frac{2}{2} = \frac{6}{8}$$

  1. Compare the equivalent fractions

Now we have the fractions (\frac{6}{8}) and (\frac{5}{8}). Compare the numerators since the denominators are the same: $$6 > 5$$

  1. Conclusion

Since (6 > 5), it follows that (\frac{3}{4} > \frac{5}{8}).

Therefore, (\frac{3}{4}) is greater than (\frac{5}{8}).

More Information

This kind of fraction comparison is crucial in understanding basic arithmetic and number sense.

Tips

A common mistake is either not converting the fractions to the same denominator or comparing the wrong parts of the fractions. Always make sure they have a common denominator before comparing.

Thank you for voting!
Use Quizgecko on...
Browser
Browser