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2.625 Fraction

When dealing with numbers, we often come across decimal fractions. One such decimal fraction is 2.625. In this article, we will explore how to convert 2.625 into its fractional form, both as a mixed fraction and in its simplest form.

2.625 Fraction

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Conversion to Inches

Before we dive into converting 2.625 into fractions, let’s explore a practical application. 2.625 inches is equivalent to:

Fraction Decimal
5/8 0.625
21/8 2.625

As we can see, 2.625 inches is equivalent to both 5/8 and 21/8 as fractions.

Conversion as a Mixed Fraction

A mixed fraction is a combination of a whole number and a proper fraction. To convert 2.625 into a mixed fraction, we need to find the whole number part and the fractional part.

To determine the whole number part, we divide the decimal part by the fractional part. In this case, dividing 2.625 by 1 gives us a quotient of 2.

Next, we subtract the whole number part multiplied by the fraction’s denominator from the decimal. In this case, subtracting 2 multiplied by 1 gives us a remainder of 0.625.

Therefore, 2.625 can be represented as the mixed fraction 2 5/8.

Conversion in Simplest Form

To express 2.625 in its simplest form as a fraction, we need to reduce it to its lowest terms. We can do this by finding the greatest common divisor (GCD) of the numerator and denominator and dividing them both by it.

The GCD of 21 and 8 is 1, so we divide both the numerator and denominator by 1. As a result, we get the simplest form of 2.625 as the fraction 21/8.

2.625 Fraction

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Frequently Asked Questions For 2.625 Fraction

What’s 2.65 As A Fraction?

2. 65 as a fraction is 2 5/8.

What Is 0.625 As A Simple Fraction?

0. 625 as a simple fraction is 5/8.

What’s 2.25 As A Fraction?

2. 25 as a fraction is 9/4.

What Is 2.5 As A Fraction?

2. 5 as a fraction is equal to 5/2.

Conclusion

In conclusion, we have explored how to convert the decimal fraction 2.625 into its fractional form. We found that 2.625 is equivalent to 5/8 and 21/8, both as a mixed fraction and in its simplest form. Understanding these conversions can be helpful in various practical applications where decimal fractions need to be represented as proper fractions.