0.16 In Simplest Form

2 min read Jul 06, 2024
0.16 In Simplest Form

0.16 in Simplest Form

What is the Simplest Form of a Decimal?

Before we dive into finding the simplest form of 0.16, let's first understand what the simplest form of a decimal means.

The simplest form of a decimal is a way of expressing a decimal number in its most basic form, without any unnecessary zeros or fractions. In other words, it's the most simplified way of writing a decimal number.

Finding the Simplest Form of 0.16

Now, let's find the simplest form of 0.16.

To do this, we need to convert 0.16 into a fraction and then simplify it.

Step 1: Convert 0.16 to a Fraction

We can convert 0.16 to a fraction by dividing it by 100, since there are 100 cents in 1 dollar.

0.16 = 16/100

Step 2: Simplify the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of 16 and 100.

The GCD of 16 and 100 is 4. Therefore, we can divide both the numerator and the denominator by 4.

16 ÷ 4 = 4 100 ÷ 4 = 25

So, the simplest form of 0.16 is:

4/25

Conclusion

In conclusion, the simplest form of 0.16 is 4/25. We achieved this by converting the decimal to a fraction and then simplifying it to its most basic form.