Write 21 39/50 as a decimal.
Understand the Problem
The question is asking us to convert the fraction 21 39/50 into a decimal form.
Answer
The decimal form of \(21 \frac{39}{50}\) is $21.78$.
Answer for screen readers
The decimal form of (21 \frac{39}{50}) is (21.78).
Steps to Solve
- Convert the mixed number to an improper fraction
To convert (21 \frac{39}{50}) to an improper fraction, we multiply the whole number by the denominator and add the numerator:
[ 21 \times 50 + 39 = 1050 + 39 = 1089 ]
So, (21 \frac{39}{50} = \frac{1089}{50}).
- Divide the numerator by the denominator
Next, we convert the improper fraction to a decimal by dividing the numerator by the denominator:
[ \frac{1089}{50} ]
Calculating (1089 \div 50):
[ 1089 \div 50 = 21.78 ]
- Final decimal result
Thus, the decimal form of (21 \frac{39}{50}) is (21.78).
The decimal form of (21 \frac{39}{50}) is (21.78).
More Information
Converting mixed numbers into decimals is a useful skill when dealing with measurements, finances, or any situation requiring precise calculations. Understanding how to perform these conversions can simplify many real-world problems.
Tips
- Confusing the mixed number with just a whole number and forgetting to include the fractional part.
- Incorrectly calculating the improper fraction (be careful with multiplication and addition).
- Failing to perform the division correctly; ensure proper division skills.
