Division is one of the fundamental operations in mathematics, used to distribute or split a quantity into equal parts. In this blog post, we’ll explore the division problem of 1 1/2 divided by 2, breaking down the process step by step and delving into the concept of mixed numbers, fractions, and how division plays a crucial role in various real-world scenarios.
1 1/2 divided by 2?
1 1/2 divided by 2 is equal to 3/4. To calculate this, you first convert the mixed number 1 1/2 to the improper fraction 3/2. Then, divide 3/2 by 2, which simplifies to 3/4. So, each part when dividing 1 1/2 by 2 is 3/4.
Mixed Numbers and Fractions
Before diving into the division, let’s clarify the terms “mixed numbers” and “fractions.” A mixed number is a combination of a whole number and a fraction. For example, 1 1/2 is a mixed number, where 1 is the whole number part, and 1/2 is the fractional part. Fractions, on the other hand, represent parts of a whole and consist of a numerator (the top number) and a denominator (the bottom number).
The Problem: 1 1/2 Divided by 2
Our division problem is 1 1/2 divided by 2. This means we want to distribute or split 1 1/2 into two equal parts to find out what each part is.
Step 1: Convert Mixed Number to Improper Fraction
To make division easier, it’s helpful to convert the mixed number 1 1/2 into an improper fraction. To do this, multiply the whole number (1) by the denominator of the fractional part (2) and then add the numerator (1):
1 1/2 = (1 * 2 + 1)/2 = 3/2
So, 1 1/2 is equivalent to 3/2 as an improper fraction.
Step 2: Perform the Division
Now that we have 3/2, we can proceed with the division. To divide a fraction by a whole number, we can rewrite the whole number as a fraction with a denominator of 1:
3/2 ÷ 2/1
Next, we can use the rule of dividing fractions by multiplying by the reciprocal of the second fraction:
3/2 ÷ 2/1 = 3/2 * 1/2
Step 3: Multiply the Fractions
Now, we multiply the fractions:
(3/2) * (1/2) = (3 * 1)/(2 * 2) = 3/4
Step 4: Simplify the Result
The result, 3/4, can be simplified further. The numerator (3) and the denominator (4) have no common factors other than 1, so the fraction is already in its simplest form.
Conclusion: The Final Answer
The final answer to the division problem 1 1/2 divided by 2 is 3/4. This means that when you divide 1 1/2 into two equal parts, each part is 3/4.
Real-World Applications
Understanding division, especially with mixed numbers and fractions, has practical applications in various real-world scenarios:
- Cooking: When halving or doubling recipes, you often need to perform division to adjust ingredient quantities.
- Construction: Dividing materials into equal parts is crucial in construction and woodworking for precise measurements.
- Finance: Calculating shares, investments, and budget allocations often involves division to distribute resources among different areas.
- Medicine: In healthcare, dosages of medication may need to be divided based on patients’ needs, requiring accurate division skills.
In summary, division is a fundamental mathematical operation that plays a vital role in everyday life, and understanding how to work with mixed numbers and fractions enhances our ability to solve a wide range of practical problems.
FAQs
How do you do 1 2 divided by 2? To divide 1/2 by 2, you can multiply 1/2 by the reciprocal of 2, which is 1/2. The result is (1/2) * (1/2) = 1/4.
Is 8 2 2 2 16 or 1? The expression “8 ÷ 2 ÷ 2 ÷ 2” is equal to 1. When you perform division operations from left to right, each subsequent division reduces the result.
What is the process of 1 divided by 2? The process of 1 divided by 2 is to take one whole unit (1) and distribute it into two equal parts, resulting in each part being 1/2.
What does it mean to divide 1 by 2? Dividing 1 by 2 means splitting 1 into two equal parts, with each part being 1/2.
How to divide 1 1/2 cup in half? To divide 1 1/2 cups in half, you can simply take half of 1 1/2, which is 3/4 cup. Each half will be 3/4 cup.
How do I divide a fraction in half? To divide a fraction in half, multiply it by 1/2 or 0.5. For example, 3/4 divided in half is (3/4) * (1/2) = 3/8.
Is Pemdas wrong? No, PEMDAS (Parentheses, Exponents, Multiplication and Division – from left to right, Addition and Subtraction – from left to right) is a widely accepted order of operations in mathematics.
Is Pemdas or Bodmas correct? PEMDAS (used in the United States) and BODMAS (used in some other countries) are equivalent and correct methods for order of operations in mathematics.
Is Pemdas the only way to do math? PEMDAS is a commonly used method, but there are alternative approaches like BODMAS. The choice of method depends on local conventions and the specific context.
Why does 1 divided by half equal 2? 1 divided by half equals 2 because dividing by half is equivalent to multiplying by 2. When you divide a whole by half, you double its value.
Is 1 divided by 0 infinity or undefined? 1 divided by 0 is undefined in standard arithmetic because division by zero is not allowed. It does not have a finite value or infinity as a result.
What is 1/2 as a fraction? 1/2 is already in fraction form. It represents one-half of a whole.
What does 1 1/2 cups divided mean? When you divide 1 1/2 cups, it means you’re splitting the quantity into equal parts, with each part being a fraction of 1/2 cup.
Why do we divide by 1? Dividing by 1 leaves a quantity unchanged because any number divided by 1 is equal to itself. It is often used in calculations to maintain a value’s original magnitude.
What is .25 as a fraction? 0.25 as a fraction is 1/4. You can express decimals as fractions by placing the decimal value over a power of 10.
What is half of 1 ⁄ 2 cup? Half of 1/2 cup is 1/4 cup. When you divide 1/2 cup into two equal parts, each part is 1/4 cup.
Is .75 the same as 3 4? Yes, 0.75 is equivalent to 3/4. Both represent three-quarters of a whole.
What is 1.5 cups divided into 2? Dividing 1.5 cups into 2 equal parts results in each part being 3/4 cup.
How do you divide fractions quickly? To divide fractions quickly, you can multiply by the reciprocal of the second fraction. For example, to divide A by B, multiply A by 1/B.
Can you divide by half? Yes, you can divide by half. Dividing by half is the same as multiplying by 2.
How do you simplify half fractions? To simplify half fractions, divide the numerator and denominator by their greatest common factor (GCF) to reduce them to their simplest form.
How do you break mixed fractions? To break mixed fractions into improper fractions, multiply the whole number by the denominator of the fraction and add the numerator.
Can you reduce a mixed fraction? Yes, you can reduce a mixed fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.
What is simplest form? The simplest form of a fraction is when the numerator and denominator have no common factors other than 1, meaning it cannot be further reduced.
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