\( \begin{array}{l}\text { Consider the following fractions. } \\ \text { Step } 1 \text { of } 2 \text { : Which fraction is larger? }\end{array} \frac{5}{8}, \frac{3}{4} \)

To determine which fraction is larger between \( \frac{5}{8} \) and \( \frac{3}{4} \), follow these steps: ### Step 1: Find a Common Denominator To compare the two fractions, it's easiest if they have the same denominator. - The denominators are **8** and **4**. - The **Least Common Denominator (LCD)** of 8 and 4 is **8**. ### Step 2: Convert Both Fractions to Have the LCD Convert \( \frac{3}{4} \) to a fraction with a denominator of 8: \[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \] Now, both fractions are: - \( \frac{5}{8} \) - \( \frac{6}{8} \) ### Step 3: Compare the Numerators Since both fractions have the same denominator, you can directly compare the numerators: \[ 5 \text{ (from } \frac{5}{8}) \quad \text{vs.} \quad 6 \text{ (from } \frac{6}{8}) \] - **5** is less than **6**. ### Conclusion \[ \frac{5}{8} < \frac{6}{8} \quad \text{which simplifies to} \quad \frac{3}{4} \] **Therefore, \( \frac{3}{4} \) is larger than \( \frac{5}{8} \).**