Chapter 4, Problem 14MCQ

To determine

To write the fraction in simplest form $\frac{18}{48}$

Answer to Problem 14MCQ

  $\frac{3}{8}$

Explanation of Solution

Given information:

Expression $\frac{18}{48}$

Formula Used: Factorization

Calculation:

Here, break both the numerator & denominator into its factors respectively.

So, 18 may be written as $2\times 3\times 3$

And 48 may be written as $2\times 3\times 2\times 2\times 2$

The fraction is revised as follows-

  $\frac{18}{48}=\frac{2\times 3\times 3}{2\times 3\times 2\times 2\times 2}$

As can see that 2 and 3 are available in both numerator & denominator. So these values cancel out and have-

  $=\frac{3}{2\times 2\times 2}$

Hence,

  $=\frac{3}{8}$

Conclusion-

  $=\frac{3}{8}$