Chapter 1, Problem 23QC

To determine

To find: that M states correct or not.

Answer to Problem 23QC

M states correct.

Explanation of Solution

Given information:

C has a board that is 0.6 yard long. M has a board that is $\frac{2}{3}$ yard long. M states that $\frac{2}{3}>0.6$

Calculation:

Let us consider the given fraction $\frac{2}{3}$ .

Now, convert the above fraction in equivalent fraction

  $\frac{2}{3}\cdot \frac{5}{5}=\frac{10}{15}$

Again, consider the decimal 0.6.

Now, convert it in equivalent fraction

  $\begin{array}{c}0.6=\frac{6}{10}\\ =\frac{6}{10}\cdot \frac{3}{3}\\ =\frac{3}{5}\cdot \frac{3}{3}\\ =\frac{9}{15}\end{array}$

Now, $10>9$

Therefore $\frac{2}{3}>\frac{3}{5}$ that is $\frac{2}{3}$ is greater than 0.6.

So, M states correct.