To multiply fractions with whole numbers and mixed numbers, you can follow these simple steps:
Step 1: Convert Mixed Numbers to Improper Fractions
If you have a mixed number, such as 2 1/3, convert it into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator. For 2 1/3:
- 2 x 3 = 6
- 6 + 1 = 7
So, 2 1/3 becomes 7/3.
Step 2: Write Whole Numbers as Fractions
Step 3: Multiply the Numerators and Denominators
Once you have all your numbers in fraction form, multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. For example, if you want to multiply 4 (which is 4/1) by 7/3:
- Numerator: 4 x 7 = 28
- Denominator: 1 x 3 = 3
So, 4 x 7/3 = 28/3.
Step 4: Simplify the Fraction (if needed)
If the resulting fraction can be simplified, do so. In our example of 28/3, it cannot be simplified further. You could also convert it back to a mixed number, which is 9 1/3.
Example:
Let’s say you want to multiply 3 1/4 by 2. First, convert 3 1/4 to an improper fraction: 3 x 4 + 1 = 13, so it’s 13/4. Then write 2 as a fraction, 2/1. Now multiply:
- Numerator: 13 x 2 = 26
- Denominator: 4 x 1 = 4
The result is 26/4, which simplifies to 13/2 or 6 1/2 as a mixed number.
That’s how you multiply fractions with whole numbers and mixed numbers! Just remember to convert mixed numbers to improper fractions and write whole numbers as fractions first.