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4 votes
What fraction is the largest?
7/8 , 3/8, 2/5, 1/4

User Cease
by
8.3k points

1 Answer

5 votes

Answer: 7/8

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Step-by-step explanation

Use long division or a calculator to get the decimal form of each fraction.

  • 7/8 = 0.875
  • 3/8 = 0.375
  • 2/5 = 0.400
  • 1/4 = 0.250

Each value is exact. I extended things to 3 decimal places to make comparison fairly quick.

The largest decimal value mentioned is 0.875, so that makes 7/8 the largest fraction.

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Another approach

The LCM of 8, 5 and 4 is 40. This is the LCD of the fractions.

Rewrite each fraction in terms of the LCD

  • 7/8 = (7/8)*(5/5) = 35/40
  • 3/8 = (3/8)*(5/5) = 15/40
  • 2/5 = (2/5)*(8/8) = 16/40
  • 1/4 = (1/4)*(10/10) = 10/40

The largest fraction is 35/40 since it has the largest numerator. This leads us back to 7/8 being the final answer.

User MrGoofus
by
7.9k points

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