Plot the numbers \( -2 \frac{1}{4} \) and \( \frac{7}{4} \) on the number line below.
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To plot the numbers \( -2 \frac{1}{4} \) and \( \frac{7}{4} \) on a number line, first convert them to improper fractions. For \( -2 \frac{1}{4} \): \[ -2 \frac{1}{4} = -\left(2 \times 4 + 1\right)/4 = -\frac{9}{4} \] For \( \frac{7}{4} \): This fraction is already in improper form. Now, \( -\frac{9}{4} \) is equal to \( -2.25 \) and \( \frac{7}{4} \) is equal to \( 1.75 \). On a number line, locate \( -2.25 \) (which is between -2 and -3) and \( 1.75 \) (which is between 1 and 2), and mark the points accordingly. The number line will have the points clearly indicated at their respective positions.
