5 9/16 as a decimal
Understand the Problem
The question is asking us to convert the mixed number 5 9/16 into a decimal form. This involves converting the fraction part by dividing the numerator by the denominator and adding it to the whole number.
Answer
The decimal form of the mixed number $5 \frac{9}{16}$ is $5.5625$.
Answer for screen readers
The decimal form of the mixed number $5 \frac{9}{16}$ is $5.5625$.
Steps to Solve
- Convert the Mixed Number to Improper Fraction
To convert the mixed number $5 \frac{9}{16}$ to an improper fraction, multiply the whole number by the denominator and add the numerator.
The calculation is: $$ 5 \times 16 + 9 = 80 + 9 = 89 $$
So, $5 \frac{9}{16} = \frac{89}{16}$.
- Divide the Numerator by the Denominator
Now we need to convert the improper fraction $\frac{89}{16}$ into a decimal by dividing the numerator by the denominator.
Perform the division: $$ 89 \div 16 = 5.5625 $$
- Final Result
The decimal form of the mixed number $5 \frac{9}{16}$ is: $$ 5.5625 $$
The decimal form of the mixed number $5 \frac{9}{16}$ is $5.5625$.
More Information
When converting mixed numbers to decimals, you first convert it to an improper fraction and then divide. This is useful in various applications, including measurement and cooking.
Tips
- Forgetting to convert the whole number into the fraction form correctly before adding the numerator.
- Errors in dividing the numerator by the denominator can lead to incorrect decimal representations. Double-check division calculations.
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