Math Problem Statement

Solution

The problem is asking which of the given fractions belongs to the interval [3,4][3, 4].

Let's analyze each fraction to determine whether it lies within this interval.

  1. 5611\frac{56}{11}
    56÷115.0956 \div 11 \approx 5.09
    This value is greater than 4, so it does not belong to the interval.

  2. 12374\frac{123}{74}
    123÷741.66123 \div 74 \approx 1.66
    This value is less than 3, so it does not belong to the interval.

  3. 7918\frac{79}{18}
    79÷184.3979 \div 18 \approx 4.39
    This value is greater than 4, so it does not belong to the interval.

  4. 10133\frac{101}{33}
    101÷333.06101 \div 33 \approx 3.06
    This value is within the interval [3,4][3, 4].

Conclusion: The fraction 10133\frac{101}{33} is the one that belongs to the interval [3,4][3, 4].

Would you like more details on this, or do you have any other questions?

Here are some related questions:

  1. How do you convert fractions to decimals?
  2. What is an interval in mathematics, and how is it used?
  3. How can you determine if a number belongs to a given interval?
  4. What are some methods to approximate the division of two numbers?
  5. How can you simplify fractions to make division easier?

Tip: When converting fractions to decimals, it's helpful to perform long division or use a calculator for greater precision.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimal Conversion
Interval

Formulas

Division of two numbers

Theorems

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Suitable Grade Level

Grades 5-7