Math Problem Statement

What is the mixed number equivalent to 7/3?

Solution

To solve for the missing value equivalent to 73\frac{7}{3}, we will convert it into a mixed number.


Step 1: Division

To express 73\frac{7}{3} as a mixed number:

  • Divide 7 by 3.
  • The quotient is 2 and the remainder is 1.

Step 2: Form the Mixed Number

The quotient (whole number part) is 22, and the remainder is 11. The denominator remains 33.
Thus,
73=213.\frac{7}{3} = 2 \frac{1}{3}.


Answer:

The correct option is 2132 \frac{1}{3} (the third choice).


Do you want me to explain in more detail how fractions are converted into mixed numbers? Let me know if you have further questions! 😊

Here are 5 related questions to explore further:

  1. How do you convert improper fractions like 94\frac{9}{4} into mixed numbers?
  2. How do you add or subtract mixed numbers?
  3. What is the process to convert mixed numbers back into improper fractions?
  4. How do you simplify improper fractions to their lowest terms?
  5. How can improper fractions be represented on a number line?

Tip: When converting improper fractions to mixed numbers, always divide the numerator by the denominator and express the remainder as a fraction!

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Math Problem Analysis

Mathematical Concepts

Fractions
Improper Fractions
Mixed Numbers

Formulas

Mixed Number = Quotient + Remainder/Denominator

Theorems

Division of fractions theorem

Suitable Grade Level

Grades 4-6