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5 votes
Match each fraction to a reasonable estimate

(-3/13)
(-1/4)
(-6/11)
(-3/4)
00
(-7/9)
(-1/2)
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Done
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User Ezzatron
by
7.9k points

2 Answers

6 votes

Answer:

-7/9,-3/4 -6/11,-1/2 -3/13,-1/4

Explanation:

Hoped this helped i took the question and it said i was correct!

User Subin Sebastian
by
8.0k points
4 votes

Answer:

  • -3/13 ≈ -1/4
  • -6/11 ≈ -1/2
  • -7/9 ≈ -3/4

Explanation:

We'll drop all the minus signs, since they don't contribute anything but distraction.

When numerators or denominators are relatively large, changing their value by 1 unit will have a relatively small effect on the value of the fraction. For example, ...

3/13 ≈ 3/12 = 1/4

If we compare the decimal values of these fractions, we see that ...

3/13 ≈ 0.230769... (6-digit repeating decimal)

The closest of the offered "reasonable estimate" fractions is 1/4 = 0.25.

__

Likewise, 6/11 ≈ 6/12 = 1/2. In decimal, these fractions are ...

6/11 = 0.54... (2-digit repeat)

1/2 = 0.5

__

We can also increase or decrease both numerator and denominator by the same amount to get a fraction with nearly the same value. This works best when the numbers are larger.

7/9 ≈ 6/8 = 3/4 . . . . . . both numerator and denominator decreased by 1

In decimal, these are ...

7/9 = 0.7... (1-digit repeat)

3/4 = 0.75

User Abdulla Khan
by
8.4k points

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