7.1 Recalling Ratios and Percentages | Class 8 Mathematics Notes

Converting Percentages to Ratios

To convert a percentage to a ratio, first express the percentage as a fraction with denominator 100, then simplify the fraction to its lowest terms. Finally, write the simplified fraction as a ratio.

For example, to convert 60% to a ratio, write it as 60/100. Simplify by dividing numerator and denominator by 20 to get 3/5. Thus, 60% corresponds to the ratio 3:5.

This conversion is important when percentages need to be expressed in ratio form for comparison or calculation purposes, such as mixing ingredients or analyzing data.

The process can be summarized as: Percentage p% → Fraction p/100 → Simplify → Ratio.

Understanding this conversion helps in interpreting percentages in terms of ratios, which can be more suitable in certain contexts.

It is also useful in solving problems where quantities are given in percentages and need to be compared or combined using ratios.

📊 Diagram: A diagram shows a pie chart representing 60%, which is then converted into a fraction 60/100 and finally into the ratio 3:5, illustrating the step-by-step conversion.

🧪 Activity: Students convert various percentages such as 25%, 40%, and 75% into ratios and simplify them, practicing the conversion method.

🔗 Connection: This section connects to the next one on converting percentages to decimals and vice versa, completing the understanding of inter-conversions among ratios, percentages, and decimals.