Multiplying a Mixed Number and a Whole Number: 1 1/4 x 3
This article will explain how to multiply a mixed number (1 1/4) by a whole number (3). Here's the step-by-step breakdown:
1. Convert the Mixed Number to an Improper Fraction
- Multiply the whole number by the denominator: 1 x 4 = 4
- Add the numerator: 4 + 1 = 5
- Keep the same denominator: 5/4
Now we have the equivalent improper fraction: 5/4
2. Multiply the Fractions
- Multiply the numerators: 5 x 3 = 15
- Multiply the denominators: 4 x 1 = 4
This gives us the fraction 15/4
3. Simplify the Result
-
Divide the numerator by the denominator: 15 ÷ 4 = 3 with a remainder of 3
-
Express the remainder as a fraction: 3/4
-
Combine the whole number and fraction: 3 3/4
Therefore, 1 1/4 x 3 = 3 3/4