3 1/8 x 2 1/5 as a Fraction
In this article, we will explore how to multiply two mixed numbers, 3 1/8 and 2 1/5, and express the result as a fraction.
Multiplying Mixed Numbers
To multiply two mixed numbers, we need to follow these steps:
- Convert each mixed number to an improper fraction.
- Multiply the two fractions.
- Simplify the resulting fraction.
Converting Mixed Numbers to Improper Fractions
First, let's convert 3 1/8 to an improper fraction:
3 1/8 = 25/8
Next, let's convert 2 1/5 to an improper fraction:
2 1/5 = 11/5
Multiplying the Fractions
Now that we have the improper fractions, we can multiply them:
25/8 × 11/5 = 275/40
Simplifying the Fraction
Finally, we can simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD):
275 ÷ 5 = 55 40 ÷ 5 = 8
So, the simplified fraction is:
55/8
Conclusion
Therefore, the result of multiplying 3 1/8 and 2 1/5 as a fraction is 55/8.
