Simplifying Fractions: 5/6 x 10/11 as an Improper Fraction
When dealing with fractions, it's essential to understand how to multiply them and convert the result into an improper fraction. In this article, we'll explore how to simplify the product of 5/6 and 10/11 as an improper fraction.
What is an Improper Fraction?
Before we dive into the calculation, let's quickly define what an improper fraction is. An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 3/2 is an improper fraction because 3 is greater than 2.
Multiplying Fractions
To multiply two fractions, we multiply the numerators (top numbers) and multiply the denominators (bottom numbers), like this:
5/6 × 10/11 = (5 × 10) / (6 × 11)
When we multiply the numerators and denominators, we get:
(50) / (66)
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 50 and 66. The GCD is the largest number that divides both numbers without leaving a remainder.
Using a calculator or by manually finding the GCD, we get:
GCD of 50 and 66 = 2
Now, we can divide both the numerator and denominator by the GCD:
(50 ÷ 2) / (66 ÷ 2) = 25/33
And there you have it! The simplified product of 5/6 and 10/11 as an improper fraction is:
25/33
Conclusion
In this article, we've shown how to multiply two fractions, 5/6 and 10/11, and simplify the result as an improper fraction, 25/33. Remember to always find the greatest common divisor to simplify your fractions and make them easier to work with.
