Multiplying a Mixed Number and a Whole Number: 1 1/3 x 7
This article will guide you through the process of multiplying a mixed number, 1 1/3, by a whole number, 7.
Converting Mixed Numbers to Fractions
The first step is to convert the mixed number, 1 1/3, into a fraction. To do this:
- Multiply the whole number by the denominator: 1 x 3 = 3
- Add the numerator: 3 + 1 = 4
- Keep the same denominator: 4/3
Therefore, 1 1/3 is equivalent to 4/3.
Multiplying Fractions
Now, we have the following multiplication:
4/3 x 7
To multiply fractions, we multiply the numerators and the denominators:
(4 x 7) / (3 x 1)
This simplifies to:
28/3
Converting Back to a Mixed Number
The final step is to convert the improper fraction 28/3 back into a mixed number.
- Divide the numerator by the denominator: 28 ÷ 3 = 9 with a remainder of 1.
- The quotient becomes the whole number: 9
- The remainder becomes the numerator: 1
- The denominator stays the same: 3
Therefore, 28/3 is equivalent to 9 1/3.
Conclusion
The product of 1 1/3 and 7 is 9 1/3.