3 1/5 x 2 3/8 as a Fraction
In this article, we will discuss how to multiply two mixed numbers, 3 1/5 and 2 3/8, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first.
3 1/5 = (3 x 5 + 1) / 5 = 16/5
2 3/8 = (2 x 8 + 3) / 8 = 19/8
Step 2: Multiply the Fractions
Now, we can multiply the two fractions:
(16/5) x (19/8) = (16 x 19) / (5 x 8) = 304 / 40
Step 3: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 304 and 40 is 8.
(304 ÷ 8) / (40 ÷ 8) = 38/5
The Final Answer
Therefore, the result of multiplying 3 1/5 and 2 3/8 is:
38/5
Which is an improper fraction. If you want to convert it to a mixed number, you can divide the numerator by the denominator:
38 ÷ 5 = 7 remainder 3
So, the result can also be written as:
7 3/5
I hope this helps! Let me know if you have any questions.
