Flashcards for:
How to Divide a Fraction by a Whole Number
How do you reduce the fraction 12/21 to its simplest form?
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By dividing both the numerator and the denominator by their greatest common divisor, which is 3, the fraction reduces to 4/7.
How do you divide a fraction by a whole number?
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To divide a fraction by a whole number, convert the whole number into a fraction by placing it over one, then use the 'keep change flip' method. Keep the first fraction the same, change division to multiplication, and flip the second fraction. Finally, multiply the numerators and the denominators.
What is the result of 2/3 divided by 5?
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The result is 2/15.
What is the result of 4/5 divided by 3?
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The result is 4/15.
How can you simplify the fraction 8/9 divided by 4?
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By converting 4 to a fraction (4/1), using 'keep change flip', and canceling out the common factor of 4, the result is simplified to 2/9.
What is the result of 12/7 divided by 3?
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The result is 4/7.
Is there another way to simplify fractions without using 'keep change flip'?
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Yes, you can multiply the numerators and denominators directly, then reduce the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor.
What is the result when you multiply 8/9 by 1/4?
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The result is 2/9.
What is the result when you multiply 12/7 by 1/3?
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The result is 4/7.
Why is 'keep change flip' method useful?
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The 'keep change flip' method simplifies the division of fractions by converting division to multiplication and allows for easier cancellation of common factors.
How can you cancel out common factors in fractions?
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You can cancel out common factors by dividing both the numerator and the denominator by the common factor, which simplifies the fraction to its lowest terms.
What is the greatest common divisor of 8 and 9?
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The greatest common divisor of 8 and 9 is 1, as they are co-prime numbers.
What is the greatest common divisor of 12 and 7?
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The greatest common divisor of 12 and 7 is 1, as they are co-prime numbers.
Can you always cancel out numbers when dividing fractions?
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No, you can only cancel out numbers if they are common factors of both the numerator and the denominator of the fractions.
What is the result of multiplying 8 by 1 and 9 by 4?
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The result is 36, which is the product of 8 and 4 and 9.
What is the result of multiplying 12 by 1 and 7 by 3?
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The result is 21, which is the product of 12 and 3 and 7.
How do you reduce the fraction 8/36 to its simplest form?
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By dividing both the numerator and the denominator by their greatest common divisor, which is 4, the fraction reduces to 2/9.
How do you reduce the fraction 12/21 to its simplest form?
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By dividing both the numerator and the denominator by their greatest common divisor, which is 3, the fraction reduces to 4/7.
How do you divide a fraction by a whole number?
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To divide a fraction by a whole number, convert the whole number into a fraction by placing it over one, then use the 'keep change flip' method. Keep the first fraction the same, change division to multiplication, and flip the second fraction. Finally, multiply the numerators and the denominators.