How to Convert 4.8 to a Fraction: A Step-by-Step Guide

To convert the decimal 4.8 into a fraction, follow these steps:

1. Separate the whole number from the decimal: In 4.8, the whole number is 4, and the decimal part is 0.8.
2. 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).
3. 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.
4. 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.
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.