1 1/3 times 2 1/5 as a Fraction
To evaluate the expression 1 1/3 times 2 1/5, we need to follow the order of operations (PEMDAS) and convert the mixed numbers to improper fractions.
Converting Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
- 1 1/3 = (3 + 1)/3 = 4/3
- 2 1/5 = (10 + 1)/5 = 11/5
Multiplying the Fractions
Now, we can multiply the two fractions:
(4/3) × (11/5) = ?
To multiply fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(4 × 11) / (3 × 5) = 44/15
So, 1 1/3 times 2 1/5 is equal to 44/15 as an improper fraction.
Simplifying the Fraction (Optional)
If we want to simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 44 and 15 is 1, so the fraction is already in its simplest form.
Therefore, the final answer is:
1 1/3 times 2 1/5 = 44/15
