Multiplying Fractions: 2 1/3 x 3/5 as a Fraction
When working with fractions, it's essential to understand how to multiply them correctly. In this article, we'll explore how to multiply 2 1/3 by 3/5 and express the result as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we dive into the multiplication, let's convert the mixed number 2 1/3 to an improper fraction.
2 1/3 = (2 × 3) + 1 / 3 = 6 + 1 / 3 = 7 / 3
So, 2 1/3 is equal to 7/3.
Multiplying Fractions
Now that we have an improper fraction, we can multiply it by 3/5.
(7/3) × (3/5) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom).
Numerator: 7 × 3 = 21 Denominator: 3 × 5 = 15
So, the result of the multiplication is:
21 / 15
Simplifying the Fraction
We can simplify the fraction 21/15 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 21 and 15 is 3.
21 ÷ 3 = 7 15 ÷ 3 = 5
So, the simplified fraction is:
7 / 5
Conclusion
In conclusion, the result of multiplying 2 1/3 by 3/5 is 7/5. By converting mixed numbers to improper fractions and following the rules of fraction multiplication, we can simplify the result to its most basic form.
