0.156 To Fraction In Simplest Form

2 min read Jul 06, 2024
0.156 To Fraction In Simplest Form

Converting 0.156 to a Fraction in Simplest Form

Converting a decimal number to a fraction can be a bit tricky, but with the right steps, it can be done easily. In this article, we will learn how to convert 0.156 to a fraction in its simplest form.

Step 1: Write the Decimal Number as a Fraction

To convert 0.156 to a fraction, we can write it as:

0.156 = 156/1000

Step 2: Simplify the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (156) and the denominator (1000). The GCD of 156 and 1000 is 4. Therefore, we can divide both the numerator and the denominator by 4 to get:

156 ÷ 4 = 39 1000 ÷ 4 = 250

So, the simplified fraction is:

0.156 = 39/250

Final Answer

The decimal number 0.156 converted to a fraction in its simplest form is:

39/250

This is the simplest form of the fraction, and it is equivalent to the original decimal number 0.156.

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