How to write decimals as mixed numbers?
Understand the Problem
The question is asking for a method to convert decimal numbers into mixed number form, which involves identifying the whole number and the fractional part from the decimal.
Answer
The mixed number form of the decimal 3.75 is \(3 \frac{3}{4}\).
Answer for screen readers
The mixed number form of the decimal 3.75 is (3 \frac{3}{4}).
Steps to Solve
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Identify the whole number part
Look at the decimal number and separate the whole number from the decimal part. For instance, in the number 3.75, the whole number part is 3. -
Identify the decimal part
Examine the decimal part that follows the whole number. In 3.75, the decimal part is 0.75. -
Convert the decimal part into a fraction
To convert the decimal into a fraction, write the decimal part over a power of ten. For the decimal 0.75, you can express it as:
$$ \frac{75}{100} $$
Then, simplify the fraction if possible. In this case:
$$ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} $$ -
Combine the whole number and the fraction
Now, combine the whole number part and the fraction to form a mixed number. Thus, for our example, we combine the whole number 3 and the fraction $\frac{3}{4}$ to get:
$$ 3 \frac{3}{4} $$ -
Write the final answer
Present the mixed number clearly by ensuring you write it in the format of "whole number fraction".
The mixed number form of the decimal 3.75 is (3 \frac{3}{4}).
More Information
Converting decimal numbers into mixed numbers is a useful skill in both mathematics and real-life situations, such as cooking or measuring. Mixed numbers can make it easier to express quantities than improper fractions.
Tips
- Forgetting to simplify the fraction after converting the decimal.
- Misidentifying the whole number from the decimal (e.g., confusing 2.8 as a whole number of 8 instead of 2).
