Fractions Flashcards

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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?

7 1/24 Signup and view all the answers

What is the result of the operation 6/11 - 4/11?

2/11 Signup and view all the answers

What is the result of the operation 13/16 - 3/8?

7/16 Signup and view all the answers

What is the result of the operation 9/32 - 1/16?

7/32 Signup and view all the answers

What is the result of the operation 5 1/6 - 2 2/3?

2 1/2 Signup and view all the answers

What is the result of the operation 2/3 - 5/8?

1/24 Signup and view all the answers

What is the result of the operation 4/11 times 10/8?

5/11 Signup and view all the answers

What is the result of the operation 5/17 times 3/8?

15/136 Signup and view all the answers

What is the result of the operation 7 1/8 times 5 2/3?

40 3/8 Signup and view all the answers

What is the result of the operation 1/3 divided by 3/8?

8/9 Signup and view all the answers

What is the result of the operation 4/11 divided by 4/9?

9/11 Signup and view all the answers

What is the result of the operation 8 1/2 divided by 2 1/4?

3 7/9 Signup and view all the answers

What is the product of 0.056 and 0.73?

0.04088 Signup and view all the answers

What is the answer when simplifying 659/7 and rounding to the nearest whole number?

82 Signup and view all the answers

What is the result of dividing 9.2 by 52.063?

0.21 Signup and view all the answers

What is the multiplicand inverse of 2 1/2?

2/5 Signup and view all the answers

Which of the following is an example of the additive identity?

a + 0 = a Signup and view all the answers

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.

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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.