Verified Answer :

  • Identify that "3 halves" represents 3 units of \(\frac{1}{2}\).
  • Convert the unit description into a mathematical operation: \(3 \times \frac{1}{2}\).
  • Express the result as a fraction by placing 3 in the numerator and 2 in the denominator.
  • The final fractional representation is \(\boxed{\frac{3}{2}}\).

Explanation

  1. Understanding the Representation of Units

The problem asks us to express "3 halves" as a standard mathematical fraction based on the provided table. We are given the division expression \(3 \div 2\) and its interpretation in unit form as "3 halves". A "half" represents the fraction \(\frac{1}{2}\). Therefore, having "3 halves" means we have 3 times \(\frac{1}{2}\).

  1. Constructing the Fraction

To convert the phrase "3 halves" into a fraction, we identify the components of the value. The number "3" acts as the multiplier or numerator, and "halves" indicates the unit size, which corresponds to the denominator 2. Thus, the expression "3 halves" can be written mathematically as:
\[3 \times \frac{1}{2} = \frac{3}{2}.\]
This confirms that the standard fractional representation for "3 halves" is \(\frac{3}{2}\).

Examples

Understanding how to convert units into fractions is essential in daily tasks such as cooking or building. For example, if a recipe calls for "5 quarters" of a cup of flour, you can easily determine that this is \(\frac{5}{4}\) cups, which is equal to \(1\frac{1}{4}\) cups. Mastering this relationship helps in quickly scaling measurements and ensuring precision in various practical applications.

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