4) $$ \frac{2}{3} \div \frac{3}{4}= $$

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UpStudy AI · Accepted Answer

To solve the division of two fractions, $$ \frac{2}{3} \div \frac{3}{4} $$, follow these steps:

### Step 1: Understand Division of Fractions
Dividing by a fraction is the same as multiplying by its **reciprocal**. The reciprocal of a fraction is created by swapping its numerator (top number) and denominator (bottom number).

### Step 2: Find the Reciprocal of the Second Fraction
The second fraction is $$ \frac{3}{4} $$. Its reciprocal is $$ \frac{4}{3} $$.

### Step 3: Multiply the First Fraction by the Reciprocal of the Second
Now, multiply $$ \frac{2}{3} $$ by $$ \frac{4}{3} $$:

$$
\frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times 3} = \frac{8}{9}
$$

### Final Answer
$$
\frac{2}{3} \div \frac{3}{4} = \frac{8}{9}
$$
$$ \frac{2}{3} \div \frac{3}{4} = \frac{8}{9} $$

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