To convert the decimal 4.8 into a fraction, follow these steps:
- Separate the whole number from the decimal: In 4.8, the whole number is 4, and the decimal part is 0.8.
- Convert the decimal (0.8) into a fraction: The decimal 0.8 can be written as:
- 0.8 = 8/10 (since there is one decimal place, we divide by 10).
- Simplify the fraction: Now, we can simplify 8/10:
- Both numbers can be divided by their greatest common divisor (GCD), which is 2:
- 8 ÷ 2 = 4
- 10 ÷ 2 = 5
- This gives us 0.8 = 4/5.
- Combine the whole number and the fraction: Now, we combine the whole number 4 with the fraction 4/5:
- 4 can be expressed as 4/1.
- Thus, we have:
- 4 + 4/5 = (4 x 5 + 4)/5 = (20 + 4)/5 = 24/5.
- Final result: Therefore, 4.8 can be written as:
- 24/5.
In conclusion, the decimal 4.8 is equivalent to the fraction 24/5.