Operating with Mixed Numbers and Fractions
When dealing with mixed numbers and fractions, it's essential to understand how to perform arithmetic operations such as multiplication. In this article, we'll explore the multiplication of 1 2/9 and 1 4/5 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Convert 1 2/9 to an Improper Fraction
1 2/9 = 9/9 + 2/9 = 11/9
Convert 1 4/5 to an Improper Fraction
1 4/5 = 5/5 + 4/5 = 9/5
Step 2: Multiply the Improper Fractions
Now that we have the improper fractions, we can multiply them.
(11/9) × (9/5) = (11 × 9) / (9 × 5) = 99/45
Simplify the Fraction
The resulting fraction 99/45 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9.
99 ÷ 9 = 11
45 ÷ 9 = 5
So, the simplified fraction is:
11/5
Result
The result of multiplying 1 2/9 and 1 4/5 as a fraction is 11/5.
