Evaluate fraction x fraction

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In summary, the conversation is discussing how to interpret and solve the question "Evaluate 3 1/3 x 1 1/5." The participants note that it is not a sum, but a product of fractions, and discuss converting mixed numbers to improper fractions and applying the rules of fraction multiplication. They also clarify that "evaluate" means to solve the problem.
  • #1
Gringo123
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What does the word mean when you are presented with a question like this?

Evaluate 3 1/3 x 1 1/5

Is it simply asking us to work out the answer to the sum?
 
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  • #2
A sum? Isn't this a product of fractions? In words, three wholes and one third times one whole and one fifth?
 
  • #3
Gringo123 said:
What does the word mean when you are presented with a question like this?

Evaluate 3 1/3 x 1 1/5

Is it simply asking us to work out the answer to the sum?
As Radou noted, this is a product, not a sum. The two numbers are mixed numbers (a whole number plus a fraction), which are not very useful for calculations. Convert each of the mixed numbers to an improper fraction, and then multiply, using the rules of fraction multiplication.
 
  • #4
Hi Mark
Thanks once again fior helping out.
Does that mean the solution is as follows?
10/3 x 6/5 = 60/15 = 4
When the question says, "Evaluate", I guess it just means "work out the answer"?
 
  • #5
Yes, "evaluate" simply means "do the arithmetic".

And, radou and Mark44, "sum" is a common Britishism for any arithmetic problem.
 

1. What is the process for evaluating a fraction multiplied by a fraction?

To evaluate a fraction multiplied by a fraction, you must first multiply the numerators together and then multiply the denominators together. The resulting fraction is the simplified product of the two fractions.

2. Can fractions with different denominators be multiplied together?

Yes, fractions with different denominators can be multiplied together. However, the resulting product may need to be simplified further by finding the lowest common denominator.

3. How do I simplify the resulting fraction after multiplying two fractions together?

To simplify the resulting fraction, you must find the greatest common factor (GCF) of the numerator and denominator and divide both by the GCF. This will give you the simplest form of the fraction.

4. Is it possible for the resulting fraction to be larger than the original fractions?

Yes, it is possible for the resulting fraction to be larger than the original fractions. This can happen when the numerator and denominator of the resulting fraction have a common factor that was not present in the original fractions.

5. Can fractions with negative numbers be multiplied together?

Yes, fractions with negative numbers can be multiplied together. The same rules for multiplying fractions apply, but it is important to properly apply the signs in the resulting fraction according to the rules of multiplying negative numbers.

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