1 2/9 Times 1 4/5 as a Fraction
In this article, we will discuss how to multiply two mixed numbers, 1 2/9 and 1 4/5, and express the result as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we can multiply these two numbers, we need to convert them into improper fractions.
1 2/9
1 2/9 can be converted to an improper fraction as follows:
1 2/9 = (1 × 9 + 2) / 9 = (9 + 2) / 9 = 11 / 9
1 4/5
1 4/5 can be converted to an improper fraction as follows:
1 4/5 = (1 × 5 + 4) / 5 = (5 + 4) / 5 = 9 / 5
Multiplying the Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them:
(11 / 9) × (9 / 5) = (11 × 9) / (9 × 5) = 99 / 45
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD):
GCD(99, 45) = 9
99 ÷ 9 = 11 45 ÷ 9 = 5
So, the simplified fraction is:
11 / 5
Therefore, 1 2/9 times 1 4/5 is equal to 11/5 as a fraction.
