Questions: Which sign makes the statement true? 5.1 ? 4 4/5

Solution Steps

To determine which sign makes the statement true, we need to compare the decimal 5.1 with the mixed number 4 4/5. First, convert the mixed number to a decimal, then compare the two decimal values.

The mixed number \( 4 \frac{4}{5} \) can be converted to a decimal as follows: \[ 4 \frac{4}{5} = 4 + \frac{4}{5} = 4 + 0.8 = 4.8 \]

Now we compare the decimal values:

• Decimal value: \( 5.1 \)
• Converted mixed number: \( 4.8 \)

We can see that: \[ 5.1 > 4.8 \]

Since \( 5.1 \) is greater than \( 4.8 \), the correct comparison sign is \( > \).

Final Answer