Certainly, here’s a table showing the conversion of 5/8 into both a decimal and a percent:

Fraction (5/8) | Decimal | Percent |
---|---|---|

5/8 | 0.625 | 62.5% |

So, 5/8 is equivalent to 0.625 as a decimal and 62.5% as a percentage.

## What is 5 8 as a percent?

To express 5/8 as a percent, multiply it by 100.

(5/8) * 100 = 62.5%

So, 5/8 is equivalent to 62.5% when expressed as a percentage.

Being able to convert between fractions, decimals, and percents is an important skill in mathematics. Understanding the connections between these different numerical representations allows flexibility in problem solving across many real-world situations. In this post, we’ll start with the fraction 5/8 and show step-by-step how to convert it into a decimal and a percent. We’ll also explore strategies and insights on interconverting between these fundamental types of numbers.

Reviewing Fractions, Decimals, and Percents First, let’s do a quick review of some definitions and relationships:

- A fraction expresses a part over a whole using a numerator and denominator.
- A decimal represents a value using place values to the right of a decimal point.
- A percent expresses a proportion out of 100 using the percent symbol %.
- Fractions can be converted to decimals by dividing the numerator by the denominator.
- Fractions and decimals can be converted to percents by multiplying by 100 and adding the % symbol.

Keeping these key ideas in mind, let’s convert our fraction.

## Converting 5/8 to a Decimal

To convert the fraction 5/8 to a decimal:

5/8 = 0.625

We divide the numerator 5 by the denominator 8, which gives us 0.625.

It’s useful to know some common decimal equivalents for fractions like:

1/8 = 0.125 1/4 = 0.25 1/2 = 0.50 3/4 = 0.75

But any fraction can be converted to a decimal through straight division.

## Converting 5/8 to a Percent

To convert the 5/8 to a percent, we multiply it by 100:

5/8 x 100 = 62.5%

Multiplying a decimal by 100 and adding the percent symbol converts it to a percentage form. Some common fractional percents are:

25% = 1/4 50% = 1/2 75% = 3/4

Being able to move fluidly between fractions, decimals, and percents enables flexibility in math across many fields and applications.

## Strategies for Converting

Some helpful strategies:

- Memorize some common conversions like 1/2 = 0.5 = 50% through repetition.
- Double check conversions, especially when learning them. Catch any errors.
- Use a calculator to convert decimals when unsure. Most will display percentages too.
- Understand the principles that connect fractions, decimals, and percents conceptually.

Regular practice strengthens the ability to accurately interconvert between different numerical representations.

## Conclusion

In this post, we showed step-by-step how to convert the fraction 5/8 into the decimal 0.625 and the percent 62.5%. Explaining the reasoning reinforces comprehension of the connections between fractions, decimals, and percents.

Converting fluently provides a foundation for more advanced math, financial calculations, and quantitative reasoning. Each conversion completed represents progress towards fluidity and flexibility with fundamental mathematical representations. Keep practicing those conversions!

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