2. Sandra used benchmark fractions to describe some insects she collected. She said the ladybug is about $$ \frac{1}{2} $$ inch long, and the cricket is about $$ \frac{2}{3} $$ inch long. Which insect is longer? (8) Assessment Practice

Question

UpStudy AI · Accepted Answer

To determine which insect is longer—the ladybug or the cricket—we can compare their lengths by examining the given fractions:

- **Ladybug:** $$ \frac{1}{2} $$ inch
- **Cricket:** $$ \frac{2}{3} $$ inch

### Step 1: Find a Common Denominator
To compare the two fractions easily, it's helpful to have the same denominator. The denominators here are 2 and 3. The **least common denominator (LCD)** for 2 and 3 is **6**.

### Step 2: Convert Each Fraction to the Common Denominator
- **Ladybug:**
  $$
  \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
  $$
  
- **Cricket:**
  $$
  \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
  $$

### Step 3: Compare the Converted Fractions
Now that both fractions have the same denominator, you can easily compare the numerators:

$$
\frac{3}{6} \quad \text{(Ladybug)} \quad \text{vs.} \quad \frac{4}{6} \quad \text{(Cricket)}
$$

Since **4/6** is greater than **3/6**, we can conclude that:

$$
\frac{2}{3} \text{ inch (Cricket)} > \frac{1}{2} \text{ inch (Ladybug)}
$$

### **Conclusion**
The **cricket** is longer than the ladybug.
The cricket is longer than the ladybug.

2. Sandra used benchmark fractions to describe some insects she collected. She said the ladybug is about \( \frac{1}{2} \) inch long, and the cricket is about \( \frac{2}{3} \) inch long. Which insect is longer? (8) Assessment Practice

Real Tutor Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions