.jpeg "0.16 (6 Repeating As A Fraction)")
0.16 (6 Repeating as a Fraction)
What is 0.16 as a Fraction?
The decimal 0.16 can be written as a fraction in its simplest form as:
16/100
However, this fraction can be further simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
Simplified Fraction: 4/25
What About the Repeating 6?
When you divide 1 by 25, you get:
1 ÷ 25 = 0.04
But when you divide 4 by 25, you get:
4 ÷ 25 = 0.16
Notice that the decimal 0.16 has a repeating pattern of 6, which can be written as:
0.1666...
This is because the denominator 25 has a factor of 3, which causes the decimal to repeat indefinitely.
Repeating Decimal as a Fraction: 4/25
So, to summarize, the decimal 0.16 with a repeating 6 pattern can be written as a fraction in its simplest form as:
4/25
This fraction represents the repeating decimal 0.1666..., which is equivalent to the original decimal 0.16.
