4 x 3 2/5 as a Fraction
Introduction
In this article, we will explore how to multiply a whole number by a mixed number and express the result as a fraction.
The Problem
The problem we are trying to solve is 4 x 3 2/5 as a fraction.
Converting the Mixed Number to an Improper Fraction
Before we can multiply, we need to convert the mixed number 3 2/5 to an improper fraction. To do this, we multiply the whole number part (3) by the denominator (5) and then add the numerator (2).
3 × 5 = 15 15 + 2 = 17
So, the improper fraction equivalent of 3 2/5 is 17/5.
Multiplying a Whole Number by an Improper Fraction
Now that we have the improper fraction, we can multiply it by the whole number 4.
4 × 17/5
To multiply a whole number by an improper fraction, we simply multiply the whole number by the numerator and keep the same denominator.
4 × 17 = 68 68/5
Simplifying the Result
The result of the multiplication is 68/5. This fraction is already in its simplest form, so we do not need to simplify it further.
Conclusion
Therefore, 4 x 3 2/5 as a fraction is 68/5.
