Fill in the blank
To simplify a ratio, we divide the two terms by their… If, howerver, the terms are in fraction, then we multiply them by…. Of denominators.

Answer

To solve the question, we need to fill in the blanks with the appropriate terms related to simplifying ratios.

1. **Understanding the Ratio**: A ratio is a way to compare two quantities. To simplify a ratio, we need to find a common factor.

2. **Finding the Highest Common Factor (HCF)**: The first part of the statement says, "To simplify a ratio, we divide the two terms by their...". The correct term to fill in the blank is **HCF (Highest Common Factor)**. This is because we simplify ratios by dividing both terms by their highest common factor.

3. **Dealing with Fractions**: The second part states, "If, however, the terms are in fraction, then we multiply them by...". When we have fractions in a ratio, we need to find a common multiple to simplify. The correct term to fill in the blank here is **LCM (Lowest Common Multiple)** of the denominators. This means we multiply both fractions by the LCM of their denominators to eliminate the fractions and simplify the ratio.

4. **Final Answer**: Therefore, the completed statement is:
"To simplify a ratio, we divide the two terms by their **HCF**. If, however, the terms are in fraction, then we multiply them by **LCM** of the denominators."