Simplifying Mixed Fractions: 1 2/9 x 1 4/5
In this article, we will explore how to simplify the multiplication of two mixed fractions: 1 2/9 and 1 4/5.
Understanding Mixed Fractions
Before we dive into the multiplication process, it's essential to understand what mixed fractions are. A mixed fraction is a combination of a whole number and a proper fraction. For example, 1 2/9 is a mixed fraction, where 1 is the whole number and 2/9 is the proper fraction.
Multiplying Mixed Fractions
To multiply two mixed fractions, we need to follow the standard multiplication rule:
Step 1: Convert mixed fractions to improper fractions
First, we need to convert both mixed fractions to improper fractions.
1 2/9 = (9 + 2) / 9 = 11/9 1 4/5 = (5 + 4) / 5 = 9/5
Multiplying the Numerators and Denominators
Now, we can multiply the numerators and denominators separately:
Numerator: 11 * 9 = 99 Denominator: 9 * 5 = 45
Simplifying the Result
Now, we can put the numerator and denominator together:
99 / 45
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 9.
Simplified Result: 11 / 5
Therefore, the result of multiplying 1 2/9 and 1 4/5 is 2 1/5.
In conclusion, multiplying mixed fractions requires converting them to improper fractions, multiplying the numerators and denominators separately, and simplifying the result. By following these steps, you can easily multiply mixed fractions like a pro!
