2 2/3 x 1 1/5 as a Fraction
In this article, we will explain how to multiply two mixed numbers, 2 2/3 and 1 1/5, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply these mixed numbers, we need to convert them to improper fractions first.
2 2/3
2 2/3 can be converted to an improper fraction by multiplying the whole number part (2) by the denominator (3) and then adding the numerator (2).
(2 × 3) + 2 = 8 So, 2 2/3 = 8/3
1 1/5
Similarly, 1 1/5 can be converted to an improper fraction by multiplying the whole number part (1) by the denominator (5) and then adding the numerator (1).
(1 × 5) + 1 = 6 So, 1 1/5 = 6/5
Step 2: Multiply the Fractions
Now that we have the improper fractions, we can multiply them.
8/3 × 6/5
To multiply these fractions, we multiply the numerators (8 and 6) and the denominators (3 and 5) separately.
(8 × 6) = 48 (3 × 5) = 15 So, 8/3 × 6/5 = 48/15
Step 3: Simplify the Fraction
The resulting fraction, 48/15, can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3.
48 ÷ 3 = 16 15 ÷ 3 = 5 So, 48/15 = 16/5
Final Answer
Therefore, 2 2/3 x 1 1/5 as a fraction is 16/5.
