How to Convert the Ratio 5:4 to a Percentage

Understanding the conversion of ratios to percentages is a fundamental skill in mathematics. If you're looking to convert the ratio 5:4 to a percentage, this article will guide you through the process step by step.

Introduction to Ratios and Percentages

A ratio, such as 5:4, represents the relationship between two numbers. A percentage is a way of expressing a number as a fraction of 100. Converting a ratio to a percentage involves a few simple steps that can be applied to any ratio.

Step-by-Step Conversion of 5:4 to a Percentage

Let's break down the process of converting the ratio 5:4 to a percentage:

1. Understand the Ratio

The ratio 5:4 can be written as a fraction, 5/4, where 5 is the part and 4 is the whole.

2. Add the Parts of the Ratio

Add the two parts of the ratio together to find the total parts. In this case, 5 4 9.

3. Calculate the Percentage

To find the percentage, divide one part of the ratio (5) by the total parts (9), and then multiply by 100.

Divide 5 by 9: 5 ÷ 9 ≈ 0.5556 Convert to a percentage: 0.5556 × 100 ≈ 55.56%

Therefore, the ratio 5:4 is approximately 55.56% when converted to a percentage.

Alternative Method Using Decimal to Percentage Conversion

You can also convert the ratio directly to a percentage using the decimal form.

First, convert the ratio 5:4 to a decimal fraction:

5 ÷ 4 1.25

To convert the decimal to a percentage, multiply by 100:

1.25 × 100 125%

Thus, the ratio 5:4 is equivalent to 125% when converted to a percentage.

Conclusion

Converting a ratio to a percentage is a straightforward process that involves basic arithmetic steps. Whether you prefer the method of dividing the part by the total and multiplying by 100 or directly converting the ratio to a decimal and then to a percentage, you can now confidently perform this conversion yourself.

Related Keywords

When searching for information on converting ratios to percentages, the following keywords may be helpful:

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