Questions and Answers
What is the result of the operation 2/3 + 3/8?
1 1/24
What is the result of the operation 5/4 + 7/9?
2 4/9
What is the result of the operation 10 3/7 + 19 5/9?
29 62/63
What is the result of the operation 1 1/2 + 5 3/8?
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What is the result of the operation 6/11 - 4/11?
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What is the result of the operation 13/16 - 3/8?
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What is the result of the operation 9/32 - 1/16?
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What is the result of the operation 5 1/6 - 2 2/3?
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What is the result of the operation 2/3 - 5/8?
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What is the result of the operation 4/11 times 10/8?
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What is the result of the operation 5/17 times 3/8?
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What is the result of the operation 7 1/8 times 5 2/3?
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What is the result of the operation 1/3 divided by 3/8?
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What is the result of the operation 4/11 divided by 4/9?
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What is the result of the operation 8 1/2 divided by 2 1/4?
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What is the product of 0.056 and 0.73?
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What is the answer when simplifying 659/7 and rounding to the nearest whole number?
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What is the result of dividing 9.2 by 52.063?
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What is the multiplicand inverse of 2 1/2?
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Which of the following is an example of the additive identity?
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Study Notes
Addition of Fractions
- Fraction operations can involve both like and unlike denominators, requiring the least common denominator (LCD) to perform addition.
- Example: 2/3 + 3/8 equals 1 1/24.
- Example: 5/4 + 7/9 results in 2 4/9.
- Mixed numbers can also be added, e.g., 10 3/7 + 19 5/9 equals 29 62/63.
- Adding mixed numbers: 1 1/2 + 5 3/8 equals 7 1/24.
Subtraction of Fractions
- Subtraction may also require finding a common denominator.
- Example: 6/11 - 4/11 simplifies to 2/11.
- Example: 13/16 - 3/8 results in 7/16, with both fractions needing conversion.
- Mixed numbers subtraction: 5 1/6 - 2 2/3 equals 2 1/2.
Operations with Mixed Numbers
- Conversion between mixed numbers and improper fractions is necessary for computation.
- Example: 2/3 - 5/8 simplifies to 1/24 after adjusting denominators.
Multiplication of Fractions
- Multiply the numerators and denominators directly for products.
- Example: 4/11 times 10/8 equals 5/11.
- Example: 5/17 times 3/8 gives 15/136.
- Mixed number multiplication: 7 1/8 times 5 2/3 equals 40 3/8.
Division of Fractions
- Division of fractions involves multiplying by the reciprocal.
- Example: 1/3 divided by 3/8 results in 8/9.
- Example: 4/11 divided by 4/9 equals 9/11.
- Mixed number division: 8 1/2 divided by 2 1/4 equals 3 7/9.
Decimal Calculations
- Decimal multiplication follows the same principles as fractional multiplication.
- Example: The product of 0.056 and 0.73 equals 0.04088.
- For division, 9.2 divided by 52.063 equals approximately 0.21.
Special Concepts
- The multiplicand inverse of 2 1/2 is 2/5, useful in division.
- The additive identity property states that a + 0 = a, confirming that adding zero does not alter a number.
Simplification and Rounding
- Simplifying fractions such as 659/7 results in 82 when rounded to the nearest whole number.
Studying That Suits You
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Description
Test your skills on basic operations with fractions using these flashcards. Each card presents a fraction addition or subtraction problem for you to solve, with the correct answer provided for your reference. Perfect for students looking to enhance their understanding of fractions.
