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Expressing 2.625 as a Fraction

Converting a decimal number to a fraction may seem daunting at first, but with the right approach, it can be quite simple. In this article, we will discuss how to express 2.625 as a fraction in a few different forms.

## Expressing 2.625 as a Fraction

To express 2.625 as a fraction, we can follow these steps:

1. Write down the decimal as a fraction with the decimal number as the numerator (top number) and a power of 10 as the denominator (bottom number). In this case, 2.625 can be written as 2.625/1.
2. Next, since the decimal extends to three decimal places, we can multiply both the numerator and denominator by 1000 to remove the decimal. This gives us 2625/1000.
3. Now, we can simplify the fraction by finding the greatest common divisor of the numerator and denominator, which is 125. Dividing both the numerator and denominator by 125 yields the simplified fraction 21/8.

## 2.625 as a Mixed Number

Another way to express 2.625 is a mixed number, which is a whole number combined with a proper fraction. To convert 2.625 to a mixed number, we follow these steps:

1. Divide the decimal by 1 to turn it into a fraction. This gives us 2.625/1.
2. Now, we can see that 2 is the whole number part and 0.625 is the fractional part.
3. To convert 0.625 to a fraction, we can write it as 625/1000 and then simplify it to 5/8.
4. So, the mixed number form of 2.625 is 2 5/8.

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## 2.625 as a Percentage

It’s also common to express a decimal number as a percentage. To convert 2.625 to a percentage, we multiply it by 100. This gives us 262.5%.

## Conclusion

Expressing 2.625 as a fraction can be done in multiple ways – as a regular fraction (21/8), a mixed number (2 5/8), and a percentage (262.5%). Understanding these different forms can be useful in various mathematical and real-world situations.