1/7 divided by 2

2 min read 21-10-2024

When it comes to performing calculations with fractions, it's essential to understand the underlying principles to ensure accuracy. In this article, we will explore the calculation of ( \frac{1}{7} \div 2 ), break down the steps, and provide practical examples for better comprehension.

What Does Dividing by 2 Mean?

Dividing a number by 2 essentially means finding out how many times 2 fits into that number. In the context of fractions, we can think of this as splitting the fraction into two equal parts.

The Calculation: How to Divide ( \frac{1}{7} ) by 2

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

Write the Whole Number as a Fraction: Since 2 can be expressed as ( \frac{2}{1} ), we can rewrite the equation:

[ \frac{1}{7} \div 2 = \frac{1}{7} \div \frac{2}{1} ]
Multiply by the Reciprocal: Instead of dividing by a fraction, we can multiply by its reciprocal. The reciprocal of ( \frac{2}{1} ) is ( \frac{1}{2} ):

[ \frac{1}{7} \times \frac{1}{2} ]
Multiply the Numerators and Denominators: Now, we multiply the numerators together and the denominators together:

[ \frac{1 \times 1}{7 \times 2} = \frac{1}{14} ]

Therefore, ( \frac{1}{7} \div 2 = \frac{1}{14} ).

Why is Understanding this Important?

Understanding how to divide fractions is a fundamental skill that has practical applications in various fields such as cooking, finance, and even engineering. For example, if you have 1/7 of a pizza and you want to share it between two friends, each person would receive ( \frac{1}{14} ) of the pizza.

Practical Example

Imagine a recipe that requires ( \frac{1}{7} ) of a cup of sugar but you want to make half of the recipe. By performing the operation ( \frac{1}{7} \div 2 ), you determine that you need ( \frac{1}{14} ) of a cup of sugar.

Conclusion

Dividing fractions might initially seem daunting, but with the right approach, it can be straightforward and intuitive. To summarize, ( \frac{1}{7} \div 2 ) simplifies to ( \frac{1}{14} ), a crucial skill that can be applied in everyday situations.

Understanding these concepts not only enhances your mathematical skills but also empowers you to tackle various real-life scenarios with confidence.

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By mastering these concepts, readers will be better equipped to handle fractions and their applications, improving both their mathematical and practical life skills.