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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