Final answer:
The number 0.6 can be expressed as the fraction 6/10, which simplifies to 3/5, the simplest form.Express 0.6 as 3/5 by recognizing it as 6 tenths, then simplifying the fraction.
Step-by-step explanation:
To write the number 0.6 as a fraction in its simplest form, we first recognize that 0.6 is the same as 6 tenths. So we write it as 6/10. But this fraction can be simplified by dividing both the numerator (6) and the denominator (10) by their greatest common factor, which is 2. This simplification process results in the fraction 3/5, which is in its simplest form.
To express the decimal number 0.6 as a fraction in its simplest form, we recognize that 0.6 is equivalent to 6 tenths. Therefore, we can write it as the fraction 6/10. To simplify this fraction, we find the greatest common factor (GCF) of the numerator (6) and the denominator (10), which is 2.
Dividing both the numerator and the denominator by 2 yields the simplified fraction 3/5. In its simplest form, 0.6 is expressed as 3/5. This means that if a whole is divided into five equal parts, three of those parts represent the value equivalent to 0.6.