4.8 in a fraction or mixed number simplified
The correct answer and explanation is:
Answer:
4.8 as a fraction is 245\frac{24}{5}. As a mixed number, it is 4454 \frac{4}{5}.
Explanation:
To convert a decimal like 4.8 into a fraction or mixed number, you follow these steps:
- Separate the whole number and the decimal part:
Here, 4.8 has a whole number part of 4 and a decimal part of 0.8. - Convert the decimal part to a fraction:
- The decimal 0.8 means 8 tenths or 810\frac{8}{10}.
- To simplify 810\frac{8}{10}, find the greatest common divisor (GCD) of 8 and 10.
The GCD of 8 and 10 is 2. - Divide numerator and denominator by 2: 8÷210÷2=45\frac{8 \div 2}{10 \div 2} = \frac{4}{5}
- Write the decimal as a mixed number:
Combine the whole number 4 and the fraction 45\frac{4}{5}: 4454 \frac{4}{5} - Convert the mixed number to an improper fraction (if needed):
Multiply the whole number by the denominator and add the numerator: (4×5)+4=20+4=24(4 \times 5) + 4 = 20 + 4 = 24 So the improper fraction is: 245\frac{24}{5}
Summary:
- Decimal 4.8 = Mixed number 4454 \frac{4}{5}
- Decimal 4.8 = Improper fraction 245\frac{24}{5}
Why use fractions or mixed numbers?
Fractions and mixed numbers are often easier to work with in math, especially in algebra, measurement, and when exact values are needed. Decimals are convenient for approximations and calculations involving computers or calculators, but fractions provide exact ratios.
Understanding how to convert between decimals and fractions strengthens number sense and helps in many areas of math like ratios, proportions, and solving equations.