Effortless Conversion- Mastering the Art of Decimal to Mixed Number Transformation
How to Convert a Decimal to a Mixed Number
Converting a decimal to a mixed number is a fundamental skill in mathematics, especially when dealing with real-world problems that involve fractions. A mixed number consists of an integer part and a fractional part, and it is a way to represent a number that is greater than an integer. In this article, we will guide you through the step-by-step process of converting a decimal to a mixed number.
Step 1: Identify the Whole Number
The first step in converting a decimal to a mixed number is to identify the whole number part. This is the integer that comes before the decimal point. For example, in the decimal 3.75, the whole number part is 3.
Step 2: Find the Fractional Part
Next, we need to find the fractional part of the decimal. This is the part that comes after the decimal point. In our example, the fractional part is 0.75.
Step 3: Convert the Fractional Part to a Fraction
To convert the fractional part to a fraction, we need to determine the place value of the last digit after the decimal point. In our example, the last digit is 5, which is in the hundredths place. Therefore, we will convert 0.75 to the fraction 75/100.
Step 4: Simplify the Fraction
Now that we have the fraction 75/100, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 75 and 100 is 25, so we divide both by 25 to get the simplified fraction 3/4.
Step 5: Combine the Whole Number and Fraction
Finally, we combine the whole number and the simplified fraction to form the mixed number. In our example, the whole number is 3, and the simplified fraction is 3/4. Therefore, the mixed number is 3 3/4.
Conclusion
Converting a decimal to a mixed number is a straightforward process that involves identifying the whole number, finding the fractional part, converting it to a fraction, simplifying the fraction, and combining the whole number and fraction. By following these steps, you can easily convert any decimal to a mixed number and apply this skill in various mathematical contexts.
