What is the product? 3x 4/5 The product written as an improper fraction is
The Correct Answer and Explanation is:
To find the product of 3 and ( \frac{4}{5} ), we need to multiply the whole number 3 by the fraction ( \frac{4}{5} ).
Step-by-Step Process:
- Convert the whole number to a fraction:
Any whole number can be written as a fraction by placing it over 1. So, the number 3 can be written as:
[
3 = \frac{3}{1}
] - Multiply the fractions:
To multiply two fractions, you multiply the numerators (top numbers) and the denominators (bottom numbers) together.
[
\frac{3}{1} \times \frac{4}{5} = \frac{3 \times 4}{1 \times 5} = \frac{12}{5}
] - Write the product as an improper fraction:
The result of the multiplication is ( \frac{12}{5} ), which is an improper fraction because the numerator (12) is greater than the denominator (5).
Explanation:
An improper fraction occurs when the numerator is greater than or equal to the denominator. In this case, ( \frac{12}{5} ) represents an improper fraction, as 12 is greater than 5.
To express this product as a mixed number (if needed), divide the numerator (12) by the denominator (5):
[
12 \div 5 = 2 \text{ remainder } 2
]
So, ( \frac{12}{5} = 2 \frac{2}{5} ). However, since the question asks for the product as an improper fraction, we leave the answer as ( \frac{12}{5} ).
In summary, the product of ( 3 \times \frac{4}{5} ) is ( \frac{12}{5} ) when written as an improper fraction.