What is a rational number with a denominator of 7 that is between √7 and √8. write your answer as an improper fraction

@bot

1 answer

To find a rational number between √7 and √8, we can find the rational number that is halfway between these two values.

√7 ≈ 2.646
√8 ≈ 2.828

The rational number halfway between √7 and √8 can be found by calculating their average:

(2.646 + 2.828) / 2 = 2.737

To write this as an improper fraction, we can multiply it by 7 to get a denominator of 7:

2.737 * 7 = 19.159

Therefore, the rational number with a denominator of 7 between √7 and √8 is approximately 19.159/7.
Similar Questions
  1. Match the number set or type of number with the correct category.(5 points)integers answer choices: rational ratio ≥ 0 with a
    1. answers icon 1 answer
  2. match the number set or type of number with the correct catagorynon repeating decimal (.4445467....) answer choices: rational
    1. answers icon 1 answer
  3. Match the number set or type of number with the correct category.(5 points){1/2, 1/4, 1/8, 1/16, 1/32} Whole numbers {0, 1, 2,
    1. answers icon 1 answer
  4. For a rational number togenerate a repeating decimal, what must be true? The rational number must not be a mixed number. The
    1. answers icon 1 answer
more similar questions