Order the following fractions from least to greatest:
−
3
4
,
−
7
4
,
1
.

To order the fractions from least to greatest, let's first express them in a way that is easy to compare.

The given numbers are:

- \( -\frac{3}{4} \)
- \( -\frac{7}{4} \)
- \( 1 \)

### Step 1: Convert them to decimal form for easier comparison.

- \( -\frac{3}{4} = -0.75 \)
- \( -\frac{7}{4} = -1.75 \)
- \( 1 = 1.00 \)

### Step 2: Compare the decimals.

The numbers in decimal form are:  
\( -1.75, -0.75, 1.00 \)

### Step 3: Order from least to greatest.

From least to greatest, the order is:
\[ -\frac{7}{4}, -\frac{3}{4}, 1 \]

So, the final answer is:
\[
- \frac{7}{4}, - \frac{3}{4}, 1
\]

Would you like more details or have any questions? Here are five questions related to this process:

1. How do you convert improper fractions to decimals?
2. What is the significance of comparing negative fractions in order?
3. Can you explain how mixed numbers compare to fractions in ordering?
4. How do you convert decimals back to fractions?
5. Why is \( -\frac{7}{4} \) less than \( -\frac{3}{4} \)?

**Tip:** Always remember that negative numbers become smaller as they move further from zero!

Order the following fractions from least to greatest: -3/4, -7/4, 1.

Learn how to order the fractions -3/4, -7/4, and 1 from least to greatest. This problem covers key concepts such as converting fractions to decimals and comparing negative and positive numbers. Suitable for students in Grades 5-7.

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