5/6 divided by 10 as a fraction

less than a minute read 23-10-2024

Dividing Fractions: 5/6 Divided by 10 (Explained)

This article will guide you through understanding how to divide the fraction 5/6 by the whole number 10. We'll break down the process step-by-step, making it clear and understandable.

Understanding the Problem:

The question is: 5/6 ÷ 10. This can be read as "five-sixths divided by ten."

The Rule of Division with Fractions:

Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of a number is simply 1 divided by that number.

Example: The reciprocal of 10 is 1/10.

Applying the Rule:

Rewrite 10 as a fraction: 10 can be written as 10/1.
Find the reciprocal of the divisor: The reciprocal of 10/1 is 1/10.
Multiply the first fraction by the reciprocal: (5/6) * (1/10).

Calculating the Result:

Multiply the numerators (top numbers) and the denominators (bottom numbers):

(5 * 1) / (6 * 10) = 5/60

Simplifying the Fraction:

The fraction 5/60 can be simplified by finding the greatest common factor (GCF) of the numerator and denominator, which is 5. Divide both the numerator and denominator by 5:

5/5 = 1
60/5 = 12

Therefore, 5/6 divided by 10 is equal to 1/12.

Conclusion:

By understanding the rules of dividing fractions and their reciprocals, we can confidently solve problems like 5/6 divided by 10. This knowledge can be applied to various practical scenarios, including measuring, baking, and understanding proportions in different fields.

Additional Tips:

Visualize: Imagine a pizza cut into six slices. You have five slices (5/6 of the pizza). Now, you need to divide those five slices among ten people. Each person would receive a much smaller portion, represented by 1/12 of the original pizza.
Practice: The more you practice working with fractions, the more comfortable you'll become with the concepts and the easier it will be to solve division problems.

Remember, the key is to understand the underlying principles and to break down problems into manageable steps. With practice and patience, you'll master dividing fractions!