Fraction Operations Flashcard

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Answer explanation

To multiply fractions, multiply the numerators and the denominators: \(\frac{3 \times 2}{4 \times 3} = \frac{6}{12}\). Simplifying \(\frac{6}{12}\) gives \(\frac{1}{2}\), which is the correct answer.

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VA.MATH.6.CE.1.b

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Answer explanation

To divide the mixed number, convert it to an improper fraction: 2 1/2 = 5/2. Then, divide by 1/5: (5/2) ÷ (1/5) = (5/2) × (5/1) = 25/2 = 12 1/2. Thus, the answer is 12 1/2.

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VA.MATH.6.CE.1.b

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Answer explanation

To multiply 5 by \(\frac{3}{8}\), multiply the numerator: \(5 \times 3 = 15\). The denominator remains 8, giving \(\frac{15}{8}\). Thus, the correct answer is \(\frac{15}{8}\).

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VA.MATH.6.CE.1.b

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Answer explanation

To divide fractions, multiply by the reciprocal. Thus, \( \frac{7}{9} \div \frac{2}{3} = \frac{7}{9} \times \frac{3}{2} = \frac{21}{18} \). Simplifying \( \frac{21}{18} \) gives \( \frac{7}{6} \), which is the correct answer.

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VA.MATH.6.CE.1.b

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Answer explanation

To multiply the mixed number, convert it to an improper fraction: 1 1/4 = 5/4. Then multiply: (5/4) × (2/5) = (5×2)/(4×5) = 10/20 = 1/2 = 5/8. Thus, the correct answer is \frac{5}{8}.

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VA.MATH.6.CE.1.b

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It decreases.

Answer explanation

Multiplying any number by a fraction between 0 and 1 results in a smaller value. This is because the fraction reduces the original number, making it less than the original. Therefore, the correct answer is that it decreases.

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VA.MATH.6.CE.1.c

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The number of containers is larger than the original number of liters.

Answer explanation

Dividing a whole number by a fraction less than 1 increases the value. For example, 10 ÷ 1/2 = 20, which is larger than 10. Thus, the correct choice is that the result is larger than the original number.

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VA.MATH.6.CE.1.c

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Answer explanation

Multiplying 6 by \frac{1}{2} gives \frac{6}{2} = 3. Therefore, the correct result is 3.

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VA.MATH.6.CE.1.c

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It stays the same.

Answer explanation

Dividing a mixed number by 1 does not change its value. Therefore, the correct answer is that it stays the same.

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VA.MATH.6.CE.1.c

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The amount is less than the original fraction.

Answer explanation

Multiplying a fraction by a number between 0 and 1 reduces its value. Therefore, the product is less than the original fraction, making this the correct choice.

Tags

VA.MATH.6.CE.1.c