Chapter 4.3, Problem 3E

To determine

To write given fractions in its simplest form.

Answer to Problem 3E

  $\frac{3}{4}$

Explanation of Solution

Given Information: $\frac{12}{16}$

Formula used: Divide numerator and denominator such that they can no longer be divided by the same whole number exactly or evenly (other than the number 1).

Calculation:

  $\frac{12}{16}$

Both numerator & denominator are now written as product of its prime factors.

  $=\frac{4\times 3}{4\times 4}$

As 4 is common in both num& den, it cancels out. In the next step, final answer is -

  $=\frac{3}{4}$