What is 1/8 Divided by 8 =?

Dividing fractions is a fundamental operation in mathematics, and understanding how to perform this operation is essential for various calculations. In this blog post, we will explore the concept of dividing a fraction by a whole number, specifically addressing the question of what 1/8 divided by 8 equals. We will also discuss the principles of fraction division, provide step-by-step instructions, and offer real-life examples of when this calculation is useful.

What is 1/8 Divided by 8 =?

1/8 divided by 8 equals 1/64. To perform this division, you convert 8 to a fraction by placing it over a denominator of 1 (8/1), then multiply 1/8 by the reciprocal of 8/1, which is 1/8. Finally, simplify the result to 1/64 by multiplying the numerators and denominators.

Understanding Fraction Division

Fraction division involves dividing one fraction by another fraction or dividing a fraction by a whole number. In this case, we are dividing the fraction 1/8 by the whole number 8.

Fraction Division with a Whole Number

To divide a fraction by a whole number, we can follow these steps:

1. Convert the whole number into a fraction by placing it over a denominator of 1. In this case, 8 becomes 8/1.
2. Then, multiply the first fraction (1/8) by the reciprocal of the second fraction (8/1). The reciprocal of a fraction is obtained by switching the numerator and denominator. So, the reciprocal of 8/1 is 1/8.
3. Now, we can multiply the two fractions together:(1/8) ÷ (8/1) = (1/8) × (1/8)

Simplifying the Result

To simplify the product of these fractions, we multiply the numerators (the top numbers) and the denominators (the bottom numbers):

(1 × 1) / (8 × 8) = 1 / 64

So, 1/8 divided by 8 equals 1/64.

Practical Examples

Fraction division is a valuable skill with practical applications in various scenarios:

1. Cooking and Recipes

When adjusting recipe quantities, you might need to divide or scale down ingredient measurements, such as halving a recipe to serve fewer people.

2. Construction and Measurement

In construction and carpentry, dividing lengths or measurements by whole numbers is essential for creating accurate plans and layouts.

3. Finance and Budgeting

Fraction division is used in financial calculations, such as dividing an annual budget into monthly or quarterly allocations.

4. Academic and Educational Settings

Mathematics courses often involve fraction division as students learn to solve problems involving ratios, proportions, and fractions.

Conclusion

Dividing a fraction by a whole number, as demonstrated with the example 1/8 divided by 8, is a fundamental mathematical operation. It involves converting the whole number into a fraction and then finding the reciprocal of that fraction to perform the division. Understanding fraction division is essential for solving a wide range of practical problems in everyday life and various professional fields, from cooking and construction to finance and education. So, in this case, 1/8 divided by 8 equals 1/64.