Chapter 2, Problem 1A

Reduce the fraction $\frac{15}{30}$to halves.

To determine

The fraction into its half.

Answer to Problem 1A

The fraction reduced to $\frac{1}{2}$.

Explanation of Solution

Given:

The number is given as $x=\frac{15}{30}$.

Concept used:

Divide numerator and denominator of the given fraction by GCF, that is, greatest common factor.

Calculation:

The factors of $15$ are $1,3,5,15$ and the factors of $30$ are $1,2,3,5,6,10,15,30$ respectively.

Therefore, the greatest common factor of $15$ and $30$ is $15$.

Divide numerator and denominator of fraction by $15$ as follows:

  $\begin{array}{l}x=\frac{15÷15}{30÷15}\\ x=\frac{1}{2}\end{array}$

Thus, the fraction reduced to $\frac{1}{2}$.

Conclusion:

The fraction reduced to $\frac{1}{2}$.