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Problem 1

# $$\frac{3}{8} \cdot \frac{2}{3}$$

Expert verified
The product of the given fractions, $$\frac{3}{8}$$ and $$\frac{2}{3}$$, is $$\frac{1}{4}$$ after simplification.
See the step by step solution

## Step 1: Identify the numerators and denominators

In this problem, the fractions are $$\frac{3}{8}$$ and $$\frac{2}{3}$$. The numerators are 3 and 2, and the denominators are 8 and 3, respectively.

## Step 2: Multiply the numerators

Next, multiply the numerators (3 and 2) together: $3 \times 2 = 6$ So, the numerator of the product is 6.

## Step 3: Multiply the denominators

Now, multiply the denominators (8 and 3) together: $8 \times 3 = 24$ So, the denominator of the product is 24.

## Step 4: Write the product of the fractions

The product of the fractions is the fraction formed by the new numerator and denominator found in steps 2 and 3: $\frac{6}{24}$

## Step 5: Simplify the fraction (if possible)

In this case, both the numerator and denominator have a common factor, 6. Divide both the numerator and denominator by 6 to simplify the fraction: $\frac{6 \div 6}{24 \div 6} = \frac{1}{4}$

## Step 6: Write the final answer

The simplified product of the given fractions is $\frac{1}{4}$.

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