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Multiplying fractions is much simpler than it seems. When you multiply fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Here's a quick rundown:

• Multiply the numerators.
• Multiply the denominators.
• Simplify the fraction if necessary.

For example, if you have two fractions \( \frac{a}{b} \) and \( \frac{c}{d} \), you multiply them as follows: \( \frac{a}{b} \cdot \frac{c}{d} = \frac{a \times c}{b \times d} \).

The beauty of fraction multiplication is that you don't need a common denominator, unlike addition or subtraction of fractions. In the exercise given, after converting all factors to fractions, multiplication becomes straightforward. Each numerator and denominator directly multiplies with each other, allowing us to streamline calculations efficiently.

Converting decimals to fractions is an important skill in many math problems. A decimal like 0.04 can easily confuse, but converting it to a fraction helps to simplify calculations, as seen in the exercise's step 1.

Let's break it down:

• Write the decimal as a fraction with 1 as the denominator: \( \frac{0.04}{1} \).
• Count the number of digits after the decimal point. Here, it's two digits.
• Multiply both the numerator and denominator by 100 (since there are two digits after the decimal), giving \( \frac{4}{100} \).
• Simplify the fraction if possible. However, in this case, \( \frac{4}{100} \) is already in a useful form for multiplication.

By converting decimals to fractions, you can work with numbers more easily in multiplication scenarios. This conversion is crucial for seamless flow in step-by-step problem-solving.

Breaking down math problems into smaller, manageable steps is key to solving them accurately. The given problem shows how systematic procedures make complex problems easier to handle.

• **Step 1:** First, deal with simpler multiplications with familiar numbers. In the example, we start by converting 0.04 to \( \frac{4}{100} \) and multiplying it by 600. This turns into a simpler multiplication and division problem: \( \frac{600 \times 4}{100} = \frac{2400}{100} = 24 \).


• **Step 2:** After simplifying, the next multiplication with \( \frac{2}{3} \) becomes straightforward. Take the result (24) and follow similar steps, multiply and divide: \( 24 \times \frac{2}{3} = \frac{48}{3} = 16 \).

By following a structured approach, each problem you face becomes just another sequence of smaller, solvable steps. Remember, practicing these step-by-step solutions builds confidence and strengthens your math problem-solving skills.