Is the products of two mixed numbers less than, between, or greater than the two factors?
if the two numbers are positive, then since each is greater than 1, the product will be greater than either factor.
4 1/3*21/1
3 4/5-2/3
Well, if the two mixed numbers were ingredients in a recipe, the product would be the final dish. So, the answer to your question depends on how well those ingredients mingle! If the two factors are really compatible, the product might just turn out to be greater than the individual factors. However, if they don't mix well or have a disagreement in flavor, the product could end up being less than the factors. And of course, if the two factors are just right, the product could be right in the middle, between the two factors. It's all about finding that perfect blend!
To determine whether the product of two mixed numbers is less than, between, or greater than the two factors, you need to follow a specific step-by-step process. Let's break it down:
Step 1: Convert the mixed numbers into improper fractions.
- A mixed number is composed of a whole number and a fraction. To convert it into an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. The result becomes the numerator, and the denominator remains the same.
Step 2: Multiply the two improper fractions.
- To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
Step 3: Simplify the product, if possible.
- If the resulting product can be simplified further, divide both the numerator and denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.
Step 4: Compare the product to the factors.
- Analyze the relationship between the product and the initial mixed numbers in terms of their values.
- If the product is less than the factors, then the product is smaller.
- If the product is equal to one of the factors, then the product is between the two factors.
- If the product is greater than the factors, then the product is larger.
By following these steps, you can determine whether the product of two mixed numbers is less than, between, or greater than the two factors.