# Question #36f65

Sep 18, 2017

#### Explanation:

All fractions are division problems. Doing the math

$\frac{3}{7} \approx 0.429$

$\frac{3}{9} \approx 0.333$

Thus $\frac{3}{7} \text{ths}$ is greater since the overall unit (represented by the numerator) is divided into fewer pieces. The more pieces you divide a whole into, the smaller each individual piece becomes.

Sep 19, 2017

$\frac{3}{7}$ is greater than $\frac{3}{9}$.

#### Explanation:

$\frac{3}{7}$ and $\frac{3}{9}$ have common denominator $7 \cdot 9 = 63$

$\frac{3}{7} = \frac{3 \cdot 9}{7 \cdot 9} = \frac{27}{63}$

$\frac{3}{9} = \frac{3 \cdot 7}{9 \cdot 7} = \frac{21}{63}$

Since $27 > 21$, we see that $\frac{27}{63} > \frac{21}{63}$.

So $\frac{3}{7} > \frac{3}{9}$