0.058 As A Fraction In Simplest Form

3 min read Jul 05, 2024
0.058 As A Fraction In Simplest Form

Converting 0.058 to a Fraction in Simplest Form

Decimal numbers can be converted to fractions, and in this article, we will explore how to convert 0.058 to a fraction in its simplest form.

What is a Fraction?

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

Converting 0.058 to a Fraction

To convert 0.058 to a fraction, we need to find the numerator and denominator. To do this, we can divide 0.058 by 1, which gives us:

0.058 ÷ 1 = 0.058

Next, we need to find the equivalent fraction by multiplying both the numerator and denominator by 100, which gives us:

58 ÷ 100 = 58/100

Simplifying the Fraction

The fraction 58/100 is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of 58 and 100, which is 2.

Dividing both the numerator and denominator by 2, we get:

29 ÷ 2 = 29 50 ÷ 2 = 50

So, the simplified fraction is:

29/50

Therefore, 0.058 as a fraction in simplest form is 29/50.

Conclusion

In this article, we have successfully converted 0.058 to a fraction in its simplest form, which is 29/50. This process involves dividing the decimal number by 1, multiplying both the numerator and denominator by 100, and then simplifying the fraction by finding the greatest common divisor.

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