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NEED HELP ALGEBRA 1

Which fraction has the least value?
A. 4/10
B. 12/25
C. 14/20
D. 28/50
E. 1/5​

User Framester
by
4.4k points

2 Answers

0 votes
The answer is E

1/5

Hope this helped you
User Milenko
by
4.6k points
5 votes

Answer: E) 1/5

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Method 1

Use your calculator to find the decimal version of each fraction

  • 4/10 = 0.40
  • 12/25 = 0.48
  • 14/20 = 0.70
  • 28/50 = 0.56
  • 1/5 = 0.20

We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.

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Method 2

To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)

In this case, the LCD is 100

  • 4/10 = 40/100 .... multiply top and bottom by 10
  • 12/25 = 48/100 .... multiply top and bottom by 4
  • 14/20 = 70/100 .... multiply top and bottom by 5
  • 28/50 = 56/100 .... multiply top and bottom by 2
  • 1/5 = 20/100 .... multiply top and bottom by 20

The last fraction has the smallest denominator, so 1/5 is the smallest.

User Vickyqiu
by
5.0k points