Calculating 2 1/5 x 1 4/5 as a Fraction
In this article, we will explore how to calculate the product of two mixed numbers, 2 1/5 and 1 4/5, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them into improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
2 1/5 can be converted to an improper fraction as follows:
$2 1/5 = 2 + 1/5 = (2 * 5 + 1) / 5 = 11/5$
1 4/5 can be converted to an improper fraction as follows:
$1 4/5 = 1 + 4/5 = (1 * 5 + 4) / 5 = 9/5$
Step 2: Multiply the Fractions
Now that we have the improper fractions, we can multiply them:
$(11/5) * (9/5) = 99/25$
Step 3: Simplify the Fraction (Optional)
The resulting fraction, 99/25, is already in its simplest form. However, if you want to express it as a mixed number, you can do so:
$99/25 = 3 24/25$
Conclusion
The product of 2 1/5 and 1 4/5 is 99/25, which can also be expressed as 3 24/25.
