Multiplying Fractions: Finding 1 1/3 Times 2/5
This article will guide you through the process of multiplying mixed numbers and fractions to find the product of 1 1/3 times 2/5.
Step 1: Convert the Mixed Number to an Improper Fraction

1 1/3 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (1). The result is placed over the original denominator.

(1 x 3) + 1 = 4

1 1/3 = 4/3
Step 2: Multiply the Fractions

Now that both numbers are in fraction form, we can multiply them. To multiply fractions, multiply the numerators and multiply the denominators.

(4/3) x (2/5) = (4 x 2) / (3 x 5)
Step 3: Simplify the Result

Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 1.

(4 x 2) / (3 x 5) = 8/15
Conclusion
Therefore, 1 1/3 times 2/5 is equal to 8/15.