Work these problems with the techniques you've read about in this chapter so far. Then check your answer by solving them with your calculator. If you have any problem go back and review the information just outlined.
Q.`(3)/(4)÷(6)/(25)`=_______

Answer

To solve the problem \( \frac{3}{4} \div \frac{6}{25} \), we can follow these steps:

### Step 1: Understand the Division of Fractions
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping its numerator and denominator.

### Step 2: Write the Problem
The problem can be rewritten as:
\[ \frac{3}{4} \div \frac{6}{25} = \frac{3}{4} \times \frac{25}{6} \]

### Step 3: Multiply the Fractions
Now we will multiply the fractions:
\[ \frac{3 \times 25}{4 \times 6} \]

### Step 4: Perform the Multiplication
Calculate the numerator and the denominator:
- Numerator: \( 3 \times 25 = 75 \)
- Denominator: \( 4 \times 6 = 24 \)

So we have:
\[ \frac{75}{24} \]

### Step 5: Simplify the Fraction
Now we need to simplify \( \frac{75}{24} \). We can find the greatest common divisor (GCD) of 75 and 24 to simplify:
- The GCD of 75 and 24 is 3.
- Dividing both the numerator and the denominator by 3 gives:
\[ \frac{75 \div 3}{24 \div 3} = \frac{25}{8} \]

### Final Answer
Thus, the final answer is:
\[ \frac{25}{8} \]