0.15 Is Equivalent To What Simplified Fraction

2 min read Jul 05, 2024
0.15 Is Equivalent To What Simplified Fraction

0.15 is Equivalent to What Simplified Fraction?

In mathematics, fractions are a way to express a part of a whole. They can be simplified to make them easier to understand and work with. In this article, we will explore what simplified fraction is equivalent to 0.15.

What is a Simplified Fraction?

A simplified fraction is a fraction that has been reduced to its simplest form. This means that the numerator (the top number) and the denominator (the bottom number) have been divided by their greatest common divisor (GCD) to make the fraction as simple as possible.

Converting 0.15 to a Simplified Fraction

To convert 0.15 to a simplified fraction, we need to find the numerator and denominator. Since 0.15 is a decimal, we can convert it to a fraction by dividing by 100:

0.15 = 15/100

Simplifying the Fraction

To simplify the fraction, we need to find the GCD of 15 and 100. The GCD of 15 and 100 is 5. So, we can divide both the numerator and denominator by 5:

15 ÷ 5 = 3 100 ÷ 5 = 20

So, the simplified fraction equivalent to 0.15 is:

3/20

Conclusion

In conclusion, 0.15 is equivalent to the simplified fraction 3/20. Simplifying fractions is an important skill in mathematics, and it can help make fractions easier to understand and work with. By following the steps outlined in this article, you can convert any decimal to a simplified fraction.

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