Which is the largest fraction? 3/4, 7/8, 8/10 or 7/9
The correct answer and explanation is:
Correct Answer: 7/8
Explanation:
To determine which is the largest among the fractions 3/4, 7/8, 8/10, and 7/9, we can either convert each fraction into decimal form or compare them using common denominators. Let’s use both methods to understand the reasoning.
Method 1: Convert to Decimals
- 34=0.75\frac{3}{4} = 0.75
- 78=0.875\frac{7}{8} = 0.875
- 810=0.8\frac{8}{10} = 0.8
- 79≈0.777…\frac{7}{9} \approx 0.777…
Now compare:
- 0.75<0.777<0.8<0.8750.75 < 0.777 < 0.8 < 0.875
Clearly, 0.875 is the highest, so 7/8 is the largest fraction.
Method 2: Compare Using a Common Denominator (Optional)
Let’s convert all fractions to have a common denominator (use LCM or multiply across):
A quick comparison between fractions:
- 34=68\frac{3}{4} = \frac{6}{8}
- 78=78\frac{7}{8} = \frac{7}{8}
- So 34<78\frac{3}{4} < \frac{7}{8}
Next:
- 810=45=3240\frac{8}{10} = \frac{4}{5} = \frac{32}{40}, and
- 78=3540\frac{7}{8} = \frac{35}{40}
So again, 810<78\frac{8}{10} < \frac{7}{8}
Last:
- 79≈0.777…<0.875\frac{7}{9} \approx 0.777… < 0.875
Final Conclusion:
Among all the fractions, 7/8 has the highest decimal value and surpasses the others when compared either directly or using common denominators.
Therefore, the largest fraction is:
👉 7/8 ✅