0.050 As A Fraction In Simplest Form

2 min read Jul 05, 2024
0.050 As A Fraction In Simplest Form

0.050 as a Fraction in Simplest Form

What is 0.050 as a Fraction?

The decimal number 0.050 can be converted to a fraction in simplest form. But before we dive into that, let's understand what a fraction is.

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, in the fraction 1/2, the numerator is 1, and the denominator is 2.

Converting 0.050 to a Fraction

To convert 0.050 to a fraction, we need to find the equivalent fraction that has the same value.

Step 1: Write 0.050 as a fraction with a denominator of 1.

0.050 = 50/1000

Step 2: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 50 and 1000 is 10.

50 ÷ 10 = 5 1000 ÷ 10 = 100

So, the simplified fraction is:

0.050 = 5/100

Step 3: Simplify the fraction further by dividing both the numerator and the denominator by their GCD again.

The GCD of 5 and 100 is 5.

5 ÷ 5 = 1 100 ÷ 5 = 20

So, the final simplified fraction is:

0.050 = 1/20

Conclusion

The decimal number 0.050 can be converted to a fraction in simplest form, which is 1/20. This fraction represents one part out of twenty equal parts.

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