Write 1.48 As A Mixed Number
Write 1.48 As A Mixed Number
Ever wondered how to write 1.48 as a mixed number? You're in the right place! Converting decimals to mixed numbers might seem tricky at first, but it's a fundamental skill in mathematics that becomes simple once you understand the steps. This guide will walk you through the process clearly and concisely, helping you master this conversion effortlessly. We'll break down 1.48 and transform it into its mixed number form, making complex numbers easy to understand.
Understanding Decimals and Mixed Numbers
Before we jump into converting 1.48, let's quickly review what decimals and mixed numbers are. This foundational knowledge will make the conversion process much clearer for you. Knowing the components of each type of number is key to successful transformation.
What is a Decimal?
A decimal number is a way to represent non-integer numbers, or numbers that include a fractional part. It uses a decimal point to separate the whole number part from the fractional part. For instance, in 1.48, '1' is the whole number, and '.48' represents the fractional part.
The digits after the decimal point represent fractions with denominators of 10, 100, 1000, and so on. In 1.48, the '4' is in the tenths place, and the '8' is in the hundredths place. This means 0.48 can be written as 48/100.
What is a Mixed Number?
A mixed number combines a whole number and a proper fraction. For example, 2 ½ is a mixed number, consisting of the whole number 2 and the fraction ½. These numbers are often used to represent quantities that are greater than one but not whole integers.
Our goal is to express 1.48 in this format: a whole number combined with a simplified fraction. This makes it easier to visualize quantities and sometimes perform calculations.
Step-by-Step Guide: Convert 1.48 to a Mixed Number
Now, let's get down to business and convert 1.48 into its mixed number form. Follow these simple steps carefully, and you'll successfully write 1.48 as a mixed number.
Step 1: Separate the Whole Number
Look at your decimal number, 1.48. The digit before the decimal point is the whole number part. In this case, the whole number is 1. This will be the whole number part of our mixed number.
Step 2: Convert the Decimal Part to a Fraction
Now, take the decimal part, which is 0.48. To convert this to a fraction, determine the place value of the last digit. The '8' is in the hundredths place. Therefore, we can write 0.48 as 48/100.
Step 3: Simplify the Fraction
The fraction 48/100 can be simplified. To do this, find the greatest common divisor (GCD) of the numerator (48) and the denominator (100). Both 48 and 100 are divisible by 4.
- Divide the numerator: 48 ÷ 4 = 12
- Divide the denominator: 100 ÷ 4 = 25
So, the simplified fraction is 12/25. This means there are no other common factors other than 1.
Step 4: Combine to Form the Mixed Number
Finally, combine the whole number from Step 1 and the simplified fraction from Step 3. Our whole number was 1, and our simplified fraction is 12/25. Therefore, 1.48 as a mixed number is 1 12/25.
Why is Converting Decimals to Mixed Numbers Important?
Understanding how to write 1.48 as a mixed number and other similar conversions is crucial for several reasons. It helps in developing a deeper understanding of number systems and their interrelations. Furthermore, it's often easier to perform calculations like addition or subtraction with fractions than with decimals, especially when precision is required.
Mixed numbers are frequently used in real-world scenarios, from cooking recipes to construction measurements. Being able to switch between decimal and mixed number forms provides flexibility and accuracy in various practical applications.
Conclusion
You've successfully learned how to write 1.48 as a mixed number! By separating the whole number, converting the decimal part to a fraction, simplifying that fraction, and then combining them, you can confidently transform any decimal into a mixed number. Remember, 1.48 translates to 1 and 12/25. This skill is incredibly valuable, enhancing your mathematical versatility and problem-solving abilities. Keep practicing, and these conversions will become second nature!
Frequently Asked Questions (FAQ)
- What is a mixed number?
- A mixed number combines a whole number with a proper fraction (where the numerator is smaller than the denominator). For example, 1 12/25 is a mixed number.
- Why should I convert decimals to mixed numbers?
- Converting decimals to mixed numbers can simplify calculations, provide a clearer understanding of quantities, and is often preferred in practical applications like measurements or recipes where fractions are more intuitive.
- Can all decimals be written as mixed numbers?
- Terminating decimals (like 1.48) and repeating decimals can always be written as fractions or mixed numbers. Non-terminating, non-repeating decimals (like pi) cannot be written exactly as simple fractions or mixed numbers.
- What is the first step to write 1.48 as a mixed number?
- The first step is to identify and separate the whole number part from the decimal. For 1.48, the whole number is 1.
- How do you simplify the fraction 48/100?
- To simplify 48/100, you find the greatest common divisor (GCD) of 48 and 100, which is 4. Divide both the numerator and denominator by 4: 48 ÷ 4 = 12 and 100 ÷ 4 = 25. So, 48/100 simplifies to 12/25.
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