The decimal 4.6 is the same as what fraction?

The decimal 4.6 can be expressed as the fraction 23/5.

Here’s how we arrive at this conclusion:

1. First, we recognize that 4.6 can be written as 4 + 0.6.
2. The number 4 is already a whole number, so we focus on converting the decimal part (0.6) into a fraction. The decimal 0.6 can be written as 6/10.
3. Next, we simplify 6/10 by dividing the numerator and the denominator by their greatest common divisor, which is 2. This gives us 3/5.
4. Now, we can combine the whole number with the fraction: 4 + 3/5. To convert this into an improper fraction, we express 4 as 20/5.
5. Therefore, adding these together: 20/5 + 3/5 = 23/5.

In conclusion, the decimal 4.6 is equal to the fraction 23/5.