3 1/3 x 1 2/5 as a Fraction
In this article, we will learn how to multiply two mixed numbers, specifically 3 1/3 and 1 2/5, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
Before we can multiply the two numbers, we need to convert them into improper fractions.
- 3 1/3 = (3 × 3 + 1) / 3 = 10 / 3
- 1 2/5 = (1 × 5 + 2) / 5 = 7 / 5
Step 2: Multiply the Fractions
Now that we have the improper fractions, we can multiply them:
(10 / 3) × (7 / 5) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), like this:
(10 × 7) / (3 × 5) = 70 / 15
Step 3: Simplify the Fraction
The resulting fraction, 70 / 15, can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5.
70 ÷ 5 = 14 15 ÷ 5 = 3
So, the simplified fraction is:
14 / 3
Conclusion
Therefore, 3 1/3 x 1 2/5 as a fraction is equal to 14 / 3.
