Multiplying Fractions: 1 1/3 x 4
This article will explain how to multiply the mixed number 1 1/3 by the whole number 4.
Converting Mixed Numbers to Fractions
The first step is to convert the mixed number 1 1/3 into an improper fraction. To do this, follow these steps:
- Multiply the whole number by the denominator of the fraction: 1 x 3 = 3
- Add the numerator of the fraction: 3 + 1 = 4
- Keep the same denominator: 4/3
Now, we have the improper fraction 4/3.
Multiplying Fractions
To multiply fractions, we simply multiply the numerators and the denominators.
- Multiply the numerators: 4 x 4 = 16
- Multiply the denominators: 3 x 1 = 3
This gives us the fraction 16/3.
Simplifying the Answer
The fraction 16/3 is an improper fraction, meaning the numerator is larger than the denominator. We can convert it back into a mixed number:
- Divide the numerator by the denominator: 16 ÷ 3 = 5 with a remainder of 1
- The quotient becomes the whole number: 5
- The remainder becomes the numerator of the fraction: 1
- Keep the same denominator: 1/3
Therefore, 1 1/3 x 4 = 5 1/3.