0.1616 As A Fraction

2 min read Jul 06, 2024
0.1616 As A Fraction

0.1616 as a Fraction

What is 0.1616 as a Fraction?

The decimal number 0.1616 can be converted into a fraction. A fraction is a way to express a part of a whole as a quotient of two numbers, the numerator and the denominator.

To convert 0.1616 into a fraction, we can use the following steps:

Step 1: Divide by the Place Value

Since 0.1616 has four digits after the decimal point, we can divide it by 10,000 (the place value of the last digit) to get an integer:

0.1616 ÷ 10,000 = 1616

Step 2: Write as a Fraction

Now, we can write 1616 as a fraction:

1616/10,000

Simplify the Fraction

We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 1616 and 10,000 is 16.

(1616 ÷ 16) / (10,000 ÷ 16) = 101/625

So, 0.1616 as a fraction is 101/625.

Conclusion

In this article, we have successfully converted the decimal number 0.1616 into a fraction, which is 101/625. This simplified fraction can be used in various mathematical calculations and applications.