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Questions and Answers
What is the result of the expression (-2)/3 x 3/5 + 5/2 - 3/5 x 1/6?
2
What is the final result after simplifying (-2)/3 x 3/5 + 5/2 - 3/5 x 1/6?
2
What property is used in the step where the expression is simplified to (- 3/5) x 2/3 + (- 3/5) x 1/6 + 5/2?
Distributivity of Multiplication over Addition
What is the result of simplifying the expression (- 3/5) x ((4+1)/6) + 5/2?
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After simplification, what is the final result of the expression - 1/2 + 5/2?
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What is an improper fraction?
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In the fraction 7/4, what does the numerator represent?
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When adding fractions, what does changing the numerator involve?
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In the fraction 3/2, what does the denominator represent?
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What is the characteristic of the numerator in an improper fraction?
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If a fraction has a numerator smaller than the denominator, what type of fraction is it?
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When adding the fractions 7/3 and 4/3, what is the sum before converting it to a mixed number?
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What is the mixed number equivalent of the improper fraction 10/4?
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What is the result of adding the fractions 5/6 and 4/9 without converting to mixed numbers?
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If we add the fractions 7/2 and 5/2, what would be the sum in mixed number form?
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Converting the improper fraction 17/5 to a mixed number results in:
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What is the sum of the fractions 11/6 and 3/4 without converting them to mixed numbers?
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Study Notes
Expression Simplification
- The expression (-2)/3 x 3/5 + 5/2 - 3/5 x 1/6 can be simplified using multiplication and addition properties.
- Simplification leads to the expression (- 3/5) x (2/3) + (- 3/5) x (1/6) + 5/2, utilizing the Distributive Property.
- The result of simplifying (- 3/5) x ((4+1)/6) yields - 1/2 + 5/2.
Final Results
- After further simplification, -1/2 + 5/2 results in 2.
- The sum of 7/3 and 4/3 before converting to a mixed number equals 11/3.
Fraction Definitions
- An improper fraction has a numerator greater than or equal to its denominator.
- In the fraction 7/4, the numerator represents the number of parts considered from the whole.
- When adding fractions, changing the numerator may involve adjusting the fractions to have a common denominator.
Denominator Insights
- In the fraction 3/2, the denominator signifies the total number of equal parts into which a whole is divided.
- The numerator in an improper fraction characteristically exceeds its denominator.
Types of Fractions
- A fraction with a numerator smaller than the denominator is termed a proper fraction.
Mixed Numbers Conversion
- The mixed number equivalent of the improper fraction 10/4 is 2 1/2.
- Converting the improper fraction 17/5 results in the mixed number 3 2/5.
Additional Fraction Operations
- The result of adding the fractions 5/6 and 4/9 can be calculated without converting them into mixed numbers.
- The sum of the fractions 7/2 and 5/2 gives a total of 6 in mixed number form.
- The sum of the fractions 11/6 and 3/4 can also be computed directly without converting to mixed numbers.
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Description
Test your understanding of fraction multiplication and addition by solving a series of equations step by step. Practice applying the distributive property over addition to simplify expressions.
