Question
Download Solution PDFWhich of the following fractions is the largest?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Convert to decimals
7/8 = 0.875
13/16 = 0.8125
31/40 = 0.775
63/80 = 0.7875
Comparing the decimal values, 7/8 = 0.875 is the largest.
Alternate Method
A common denominator
The least common multiple (LCM) of 8, 16, 40, and 80 is 80.
7/8 = (7 × 10) / (8 × 10) = 70/80
13/16 = (13 × 5) / (16 × 5) = 65/80
31/40 = (31 × 2) / (40 × 2) = 62/80
63/80 = 63/80
Comparing the numerators with the common denominator 80: 70, 65, 62, and 63. The largest numerator is 70.
Conclusion:
Both methods show that 7/8 is the largest fraction.
∴ The largest fraction is 7/8.
Last updated on Jun 19, 2025
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