Subjects arithmetic

Fraction Comparison 093845

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.