What is the smallest fraction among the below given fractions ?
`4/9, 5/4, 3/8, 6/7`

Options

A. `6/7`
B. `5/4`
C. `4/9`
D. `3/8`

Answer

To find the smallest fraction among the given fractions \( \frac{4}{9}, \frac{5}{4}, \frac{3}{8}, \frac{6}{7} \), we can compare them by converting each fraction to a decimal or finding a common denominator. Here’s a step-by-step solution:

### Step 1: Convert each fraction to decimal form
1. \( \frac{4}{9} = 0.4444... \) (approximately 0.44)
2. \( \frac{5}{4} = 1.25 \)
3. \( \frac{3}{8} = 0.375 \)
4. \( \frac{6}{7} = 0.8571... \) (approximately 0.86)

### Step 2: Compare the decimal values
Now that we have the decimal values:
- \( \frac{4}{9} \approx 0.44 \)
- \( \frac{5}{4} = 1.25 \)
- \( \frac{3}{8} = 0.375 \)
- \( \frac{6}{7} \approx 0.86 \)

### Step 3: Identify the smallest value
From the decimal values, we can see:
- \( 0.375 \) (from \( \frac{3}{8} \)) is the smallest.

### Conclusion
Thus, the smallest fraction among the given fractions is \( \frac{3}{8} \).

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