Question

Least to greatest 7/12 2/3 3/4 17/24

Answer 1

To arrange the fractions \( \frac{7}{12} \), \( \frac{2}{3} \), \( \frac{3}{4} \), and \( \frac{17}{24} \) from least to greatest, we can convert them to a common denominator or approximate their decimal values.

1. **Finding a common denominator**:
The least common multiple (LCM) of the denominators 12, 3, 4, and 24 is 24.

Now, we convert each fraction:

- \( \frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24} \)
- \( \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \)
- \( \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} \)
- \( \frac{17}{24} = \frac{17}{24} \)

2. **Now we can compare**:
- \( \frac{14}{24} \)
- \( \frac{16}{24} \)
- \( \frac{18}{24} \)
- \( \frac{17}{24} \)

3. **Putting them in order**:
- \( \frac{14}{24} \) (which is \( \frac{7}{12} \))
- \( \frac{16}{24} \) (which is \( \frac{2}{3} \))
- \( \frac{17}{24} \) (which is as is)
- \( \frac{18}{24} \) (which is \( \frac{3}{4} \))

4. **Conclusively ordering them**:
- \( \frac{7}{12} < \frac{2}{3} < \frac{17}{24} < \frac{3}{4} \)

Thus, the fractions in order from least to greatest are:

\[
\frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}
\]