Multiplying Fractions: 1 1/4 x 5
This article will guide you through multiplying the mixed number 1 1/4 by the whole number 5.
Converting Mixed Numbers to Fractions
Before multiplying, we need to convert the mixed number 1 1/4 to an improper fraction.
- Multiply the whole number and the denominator: 1 x 4 = 4
- Add the numerator: 4 + 1 = 5
- Keep the same denominator: 5/4
Now we have the improper fraction 5/4 representing 1 1/4.
Multiplying Fractions
Now that we have both numbers as fractions, we can multiply:
(5/4) x (5/1)
To multiply fractions, simply multiply the numerators and the denominators:
(5 x 5) / (4 x 1) = 25/4
Converting Back to a Mixed Number
Our answer is currently in improper fraction form. Let's convert it back to a mixed number.
- Divide the numerator by the denominator: 25 ÷ 4 = 6 with a remainder of 1.
- The quotient becomes the whole number: 6
- The remainder becomes the numerator: 1
- Keep the same denominator: 4
Therefore, 1 1/4 x 5 = 6 1/4.