Questions: (a) Name a fraction between 4/5 and 5/6.

Solution Steps

To find a fraction between $\frac{4}{5}$ and $\frac{5}{6}$, we can convert both fractions to have a common denominator and then find a fraction that lies between them.

We start with the fractions $\frac{4}{5}$ and $\frac{5}{6}$.

The least common multiple of the denominators $5$ and $6$ is $30$. We convert both fractions to have this common denominator: $$\frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}$$ $$\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}$$

To find a fraction between $\frac{24}{30}$ and $\frac{25}{30}$, we can take the average of the numerators: $$\text{Mid numerator} = \frac{24 + 25}{2} = 24.5$$ However, since we are looking for a fraction, we can choose $\frac{24}{30}$ and $\frac{25}{30}$ and find a simple fraction like $\frac{24.5}{30}$ or $\frac{24 + 1}{30} = \frac{25}{30}$.

Final Answer