.025 As A Fraction To Decimal

2 min read Jul 02, 2024
.025 As A Fraction To Decimal

Converting .025 to a Fraction

In this article, we will explore how to convert the decimal number .025 to a fraction.

What is a Fraction?

A fraction is a way to represent a part of a whole. It is composed of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half of a whole.

Converting .025 to a Fraction

To convert .025 to a fraction, we can follow these steps:

Step 1: Divide by the Place Value

The decimal number .025 has three decimal places, so we can divide it by 1000 (10^3) to get:

.025 ÷ 1000 = 25/1000

Step 2: Simplify the Fraction

Now, we can simplify the fraction 25/1000 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 25 and 1000 is 25, so we can divide both numbers by 25 to get:

25 ÷ 25 = 1 1000 ÷ 25 = 40

This gives us the simplified fraction:

1/40

Therefore, the decimal number .025 is equal to the fraction 1/40.

Conclusion

In conclusion, converting .025 to a fraction involves dividing by the place value and simplifying the resulting fraction. The final answer is 1/40, which is the equivalent fraction of the decimal number .025.

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