0.144 Written As A Fraction

2 min read Jul 05, 2024
0.144 Written As A Fraction

0.144 Written as a Fraction

In this article, we will explore how to write the decimal number 0.144 as a fraction.

What is a Fraction?

A fraction is a way to express a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half, where 1 is the numerator and 2 is the denominator.

Converting 0.144 to a Fraction

To convert the decimal number 0.144 to a fraction, we can follow these steps:

Step 1: Divide by the Decimal Place

Since 0.144 has three decimal places, we can divide it by 1000 (10^3) to get rid of the decimal point.

0.144 ÷ 1000 = 144/1000

Step 2: Simplify the Fraction

Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

The GCD of 144 and 1000 is 8. So, we can divide both numbers by 8:

144 ÷ 8 = 18 1000 ÷ 8 = 125

Step 3: Write the Final Fraction

Now, we can write the final fraction:

0.144 = 18/125

Conclusion

In conclusion, we have successfully converted the decimal number 0.144 to a fraction, which is 18/125. This fraction represents the same value as the original decimal number, but in a different form.

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