Question

1 5/6,2,7/4,3/4 which is smallest

Answer 1

To find the smallest number among the given fractions and mixed numbers, we need to convert all of them to a common form (ideally improper fractions or decimals).

1. **Convert \(1 \frac{5}{6}\) to an improper fraction**:
\[
1 \frac{5}{6} = \frac{1 \times 6 + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6}
\]

2. **Convert \(2\) to an improper fraction**:
\[
2 = \frac{2 \times 1}{1} = \frac{2}{1}
\]

3. **Convert \(\frac{7}{4}\) to decimal**:
\[
\frac{7}{4} = 1.75
\]

4. **Convert \(\frac{3}{4}\) to decimal**:
\[
\frac{3}{4} = 0.75
\]

Now we have:
- \(1 \frac{5}{6} = \frac{11}{6} \approx 1.833\)
- \(2 = 2.0\)
- \(\frac{7}{4} = 1.75\)
- \(\frac{3}{4} = 0.75\)

Now we can compare the decimal values:
- \(1.833\)
- \(2.0\)
- \(1.75\)
- \(0.75\)

The smallest number among these is \(\frac{3}{4} = 0.75\).