1/157 x 1/156

2 min read 30-09-2024

When we deal with fractions, one common question arises: how do we multiply them? In this article, we will explore the multiplication of the fractions ( \frac{1}{157} ) and ( \frac{1}{156} ) and understand the results. We will break down the process, provide explanations, and give practical examples to ensure a solid understanding of multiplying fractions.

Multiplying Fractions: The Basics

To multiply two fractions, the rule is simple:

[ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} ]

Where:

( a ) and ( c ) are the numerators (top numbers) of the fractions,
( b ) and ( d ) are the denominators (bottom numbers).

In our case, we have:

[ \frac{1}{157} \times \frac{1}{156} ]

By applying the rule, we get:

[ = \frac{1 \times 1}{157 \times 156} = \frac{1}{157 \times 156} ]

Now, let's calculate ( 157 \times 156 ).

Calculation of the Denominator

To find ( 157 \times 156 ):

[ 157 \times 156 = 24532 ]

Thus, we have:

[ \frac{1}{157} \times \frac{1}{156} = \frac{1}{24532} ]

Final Result

Therefore, the result of multiplying ( \frac{1}{157} ) and ( \frac{1}{156} ) is:

[ \frac{1}{24532} ]

Practical Examples and Real-World Applications

Understanding how to multiply fractions can be applied in various real-world contexts. Here are a few examples:

Cooking and Baking: If a recipe calls for ( \frac{1}{157} ) of a cup of an ingredient, and you want to double the quantity by mixing two recipes, understanding that you'll need ( \frac{1}{24532} ) of a cup in total helps maintain accuracy.
Probabilities: In probability scenarios, multiplying small fractions can often yield very small probabilities, which is quite common in statistical analysis. For instance, in a game where events are independent, you may need to calculate the combined probability of multiple rare events.
Finance: When dealing with interest rates and investments, understanding fractional calculations can assist in determining profits from small percentages over time, making it critical for financial planning.

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Conclusion

Multiplying fractions, such as ( \frac{1}{157} ) and ( \frac{1}{156} ), follows straightforward mathematical rules that lead to practical applications in everyday life. By understanding the process and significance of such calculations, you will enhance your numerical skills and apply them effectively in various contexts.

Attributions

This article references general mathematical principles and does not directly quote or source specific Q&As from Brainly. If you have specific questions or insights from Brainly or similar resources, feel free to explore those for in-depth discussions and examples.

By engaging with these ideas, you're better equipped to tackle fraction-related questions and apply this knowledge in practical scenarios!