1. **Compare the fractions $\frac{4}{5}$ and $\frac{7}{5}$.**
Since both fractions have the same denominator 5, we compare the numerators directly.
$4 < 7$, so $\frac{4}{5} < \frac{7}{5}$.
This means $\frac{4}{5}$ is less than $\frac{7}{5}$.
2. **Find the measure of the angle that turns through $\frac{151}{360}$ of a circle.**
A full circle is $360^\circ$.
The angle measure is given by multiplying the fraction by $360^\circ$:
$$\text{Angle} = \frac{151}{360} \times 360^\circ$$
Simplify by canceling 360:
$$= \cancel{\frac{151}{\cancel{360}}} \times \cancel{360}^\circ = 151^\circ$$
So, the angle measures $151^\circ$.
3. **Use points A and B to complete parts (a)-(d):**
(a) Draw line segment AB connecting points A and B.
(b) Draw a point C above AB between A and B.
(c) Draw line segment BC.
(d) Draw an arc at point B to show the acute angle formed between AB and BC.
This completes the tasks as described.
Fraction Comparison 093845
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