1 1/5 x 2/3 as a Fraction
Converting Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first. Let's break it down step by step.
Converting 1 1/5 to an Improper Fraction
1 1/5 can be written as:
1 1/5 = (5 + 1)/5 = 6/5
Converting 2/3 to an Improper Fraction
2/3 is already in its simplest form as an improper fraction.
Multiplying the Fractions
Now, let's multiply the two fractions:
(6/5) × (2/3) = ?
To multiply fractions, we multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately:
(6 × 2) / (5 × 3) = 12/15
Simplifying the Fraction
We can simplify the fraction 12/15 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 3:
12/15 = (12 ÷ 3) / (15 ÷ 3) = 4/5
Therefore, 1 1/5 x 2/3 as a fraction is equal to 4/5.