Simplify 1 5/8 Divided By 2 In Fraction Form

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To simplify 1 5/8 divided by 2, we need to follow the order of operations:

1. Convert the mixed number 1 5/8 to an improper fraction:

1 5/8 = 13/8

2. Divide the improper fraction by 2:

(13/8) ÷ 2 = 13/8 × 1/2 = 13/16

So, the simplified result is 13/16.

Simplifying Mixed Numbers and Fractions

When working with fractions, it's essential to understand how to simplify mixed numbers and fractions. A mixed number is a combination of a whole number and a fraction, such as 1 5/8. To simplify a mixed number, you can convert it to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

For example, to convert 1 5/8 to an improper fraction:

1 × 8 = 8 8 + 5 = 13

So, 1 5/8 is equal to the improper fraction 13/8.

Dividing Fractions

When dividing fractions, you can use the following rule:

( numerator / denominator ) ÷ ( numerator / denominator ) = ( numerator × denominator ) / ( numerator × denominator )

In the case of 1 5/8 divided by 2, we converted the mixed number to an improper fraction (13/8) and then divided it by 2:

(13/8) ÷ 2 = 13/8 × 1/2 = 13/16

This simplified result can be written as 13/16.

Real-World Applications of Fraction Division

Fraction division is used in various real-world applications, such as:

• Cooking: When a recipe requires a fraction of an ingredient, you may need to divide it by a certain number of people or servings.
• Construction: Builders often work with fractions when measuring materials, such as lumber or drywall.
• Finance: Investors may need to divide fractions when calculating returns on investment or allocating assets.

In each of these scenarios, understanding how to simplify mixed numbers and fractions, as well as divide fractions, is crucial for accurate calculations and decision-making.

Common Mistakes to Avoid

When working with fractions, it's essential to avoid common mistakes, such as:

• Inverting the numerator and denominator: When dividing fractions, make sure to invert the second fraction (i.e., flip the numerator and denominator).
• Forgetting to simplify: Always simplify fractions to their lowest terms to ensure accuracy.

By avoiding these mistakes and mastering fraction division, you'll become more confident in your math skills and better equipped to tackle real-world problems.

Conclusion and Next Steps

In this article, we simplified 1 5/8 divided by 2 in fraction form and explored the importance of fraction division in real-world applications. By understanding how to simplify mixed numbers and fractions, as well as divide fractions, you'll become more proficient in math and better prepared to tackle complex problems.

If you're looking to improve your math skills or need help with specific fraction problems, we encourage you to explore additional resources and practice exercises.

Feel free to share your thoughts or ask questions in the comments below!