Multiplying Mixed Numbers: 1 3/4 x 4
This article will guide you through the process of multiplying the mixed number 1 3/4 by 4.
Understanding Mixed Numbers
A mixed number consists of a whole number and a fraction. In this case, 1 3/4 represents one whole and three quarters.
Converting to an Improper Fraction
Before multiplying, it's helpful to convert the mixed number to an improper fraction. Here's how:
- Multiply the whole number by the denominator: 1 * 4 = 4
- Add the numerator: 4 + 3 = 7
- Keep the same denominator: 7/4
Now we have the improper fraction 7/4 which is equivalent to 1 3/4.
Multiplying the Fractions
Now that we have a fraction, we can multiply:
- (7/4) * 4 = 7
This is because when multiplying a fraction by a whole number, you essentially multiply the numerator by the whole number.
Final Answer
Therefore, 1 3/4 times 4 is equal to 7.