\begin{tabular}{|l|l} & Simplify the fraction. \ $$ \frac{42}{48} $$\end{tabular}

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UpStudy AI · Accepted Answer

To simplify the fraction $$\frac{42}{48}$$, follow these steps:

1. **Find the Greatest Common Divisor (GCD):**
   
   - **Prime factors of 42:** $$2 \times 3 \times 7$$
   - **Prime factors of 48:** $$2^4 \times 3$$

The common prime factors are $$2$$ and $$3$$.

- **GCD:** $$2 \times 3 = 6$$

2. **Divide both the numerator and the denominator by the GCD:**

$$
\frac{42}{48} = \frac{42 \div 6}{48 \div 6} = \frac{7}{8}
$$

**Simplified Fraction:** $$\frac{7}{8}$$
The simplified fraction of $$\frac{42}{48}$$ is $$\frac{7}{8}$$.

Simplify the fraction.

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