The concept of finding half of a mixed number like 5 5/8 may seem a bit daunting at first, but with some simple math and a clear understanding of fractions, it becomes quite manageable. In this blog post, we’ll break down the process step by step and explore different methods to find half of 5 5/8.

## What is Half of 5 5/8

*Half of 5 5/8 is 2 13/16 or 2.8125 when expressed as a decimal. To find half, you can divide the whole number (5) by 2, which gives you 2. Then, for the fractional part (5/8), divide the numerator (5) by 2, resulting in 2.5/8. Simplify the fraction to 13/16, and combine it with the whole number to get 2 13/16.*

**Understanding Mixed Numbers and Fractions:**

Before we dive into finding half of 5 5/8, let’s ensure we have a good grasp of mixed numbers and fractions.

- A mixed number consists of a whole number part and a fractional part. In this case, 5 5/8 can be broken down as follows:
- Whole number part: 5
- Fractional part: 5/8

- A fraction is a part of a whole, and it consists of two parts:
- Numerator: The number on the top, which represents the part you have.
- Denominator: The number on the bottom, which represents the total number of equal parts.

**Method 1: Finding Half of the Whole Number and Half of the Fraction:**

One way to find half of 5 5/8 is to separately find half of the whole number part (5) and half of the fractional part (5/8), and then combine them.

**Step 1: Half of the Whole Number (5/2):**

Half of 5 is simply 5 divided by 2, which equals 2.5.

**Step 2: Half of the Fraction (5/8):**

To find half of the fractional part (5/8), divide the numerator (5) by 2: (5 ÷ 2) / 8 = 2.5/8

Now, we have half of the whole number and half of the fractional part:

2.5 (whole number part) + 2.5/8 (fractional part) = 2.5 + 2.5/8

**Method 2: Converting the Mixed Number to an Improper Fraction:**

An alternative method is to convert the mixed number 5 5/8 to an improper fraction and then find half of that fraction. Here’s how:

**Step 1: Convert the Mixed Number to an Improper Fraction:**

To convert 5 5/8 to an improper fraction, multiply the whole number (5) by the denominator (8) and add the numerator (5). This will give you the numerator of the improper fraction, and the denominator remains the same:

(5 × 8) + 5 = 40 + 5 = 45

So, 5 5/8 as an improper fraction is 45/8.

**Step 2: Find Half of the Improper Fraction (45/8):**

To find half of the fraction 45/8, simply divide the numerator (45) by 2:

(45 ÷ 2) / 8 = 22.5/8

## FAQs

**What is half of 5 5/8 in fraction form?** Half of 5 5/8 is 2 13/16 or 2.8125 when expressed as a decimal.

**What is half of 5 8 inches in fraction?** Half of 5 8 inches is 2 4/8 inches, which simplifies to 2 1/2 inches as a fraction.

**What is 5 8 divided by 5 12 as a fraction?** 5 8 divided by 5 12 is equal to 3/2 or 1 1/2 as a fraction.

**How do you work out 5 8 divided by 2?** To divide 5 8 by 2, simply divide both the whole number (5) and the fraction (8) by 2 separately. This results in 2 4/8, which simplifies to 2 1/2.

**What is 0.8125 as a fraction?** 0.8125 as a fraction is 13/16.

**How do I find half of a fraction?** To find half of a fraction, divide the numerator (top number) by 2 and keep the denominator (bottom number the same). For example, half of 5/8 is (5 ÷ 2) / 8 = 5/16.

**What’s 0.3125 as a fraction?** 0.3125 as a fraction is 5/16.

**What is 5 to 8 as a fraction?** 5 to 8 can be written as the fraction 5/8.

**What is 5 8 as a fraction and percent?** 5 8 as a fraction is 5/8, which is equivalent to 62.5% when expressed as a percentage.

**What is 5 8 as a decimal using short division?** 5 8 as a decimal using short division is 0.625.

**How do you work out 5 8 divided by 5?** To divide 5 8 by 5, you can divide both the whole number (5) and the fraction (8) by 5 separately. This results in 1 1/5 or 1.125 as a decimal.

**How to divide fractions?** To divide fractions, you can multiply the first fraction by the reciprocal (flipping the numerator and denominator) of the second fraction. For example, to divide a/b by c/d, you can multiply (a/b) * (d/c) to get the result.

**What is 2 5 8 as a number?** 2 5/8 as a mixed number is equivalent to the improper fraction 21/8.

**What is 1.025 as a fraction?** 1.025 as a fraction is 41/40.

**What is 2 5/8 converted to a decimal?** 2 5/8 as a decimal is 2.625.

**What is 1 13/8 as a decimal?** 1 13/8 as a decimal is 2.625.

**What is .0625 as a fraction?** 0.0625 as a fraction is 1/16.

**What is .78125 as a fraction?** 0.78125 as a fraction is 25/32.

**Conclusion:**

Using either method, we have found that half of 5 5/8 is equal to 2.5 + 2.5/8 or 22.5/8. You can leave the answer in either form, depending on your preference or the context in which you are working with fractions.

In summary, finding half of a mixed number like 5 5/8 involves breaking it down into its whole number and fractional parts and then performing the necessary calculations to determine the final result. Understanding the concept of mixed numbers and fractions is crucial in solving such mathematical problems effectively.

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