Chapter 4.3, Problem 8E

To determine

To write given fractions in its simplest form.

Answer to Problem 8E

  $\frac{7}{8}$

Explanation of Solution

Given Information: $\frac{35}{40}$

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:

  $\frac{35}{40}$

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

  $=\frac{5\times 7}{2\times 5\times 2\times 2}$

As 5 is common in both num& den, it cancels out. In the nest step-

  $=\frac{7}{2\times 2\times 2}$

Final answer is-

  $=\frac{7}{8}$