# 5/6×5/6

When it comes to understanding the multiplication of fractions, 5/6 x 5/6 is a common example that many people come across. To provide insightful information about this calculation, let’s break it down step by step:

1. Understanding Fractions:
• Fractions represent parts of a whole or a quantity that is divided into equal parts.
• They consist of a numerator (the top number) and a denominator (the bottom number).
• In 5/6, the numerator is 5, and the denominator is 6.
2. Multiplying Fractions:
• To multiply fractions, we simply multiply the numerators together and the denominators together.
• In the case of 5/6 x 5/6, we multiply 5 x 5 for the numerators and 6 x 6 for the denominators.
3. Calculating the Result:
• Multiply the numerators: 5 x 5 = 25.
• Multiply the denominators: 6 x 6 = 36.
4. Simplifying the Result:
• The resulting fraction is 25/36.
• However, it’s important to note that we can simplify fractions when the numerator and denominator have a common factor.
• In this case, 25 and 36 have a common factor of 1, so the fraction 25/36 is already in its simplest form.
5. Interpreting the Result:
• The fraction 25/36 represents the product of multiplying 5/6 by itself.
• It can be thought of as the fraction of a quantity when it is multiplied by 5/6 twice.

Example: Imagine you have a pizza divided into 6 equal slices. If you eat 5/6 of a slice and then take 5/6 of what’s left, the result is 25/36 of a slice. So, 5/6 x 5/6 gives you 25/36 of the original pizza slice.