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Which is the best reason why 2/3 is the exact quotient for 1/4 divided 3/8

User Yavuz Sert
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2 Answers

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Because if you divide 1/4 by 3/8 you get 2/3.

Which is the best reason why 2/3 is the exact quotient for 1/4 divided 3/8-example-1
User James Harzs
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Final answer:

The exact quotient for 1/4 divided by 3/8 is 2/3 because dividing by a fraction is the same as multiplying by its reciprocal. This multiplication results in 8/12, which simplifies to 2/3.

Step-by-step explanation:

The best reason why 2/3 is the exact quotient for 1/4 divided by 3/8 is that when you divide fractions, you multiply by the reciprocal of the divisor. In this case, dividing 1/4 by 3/8 is the same as multiplying 1/4 by the reciprocal of 3/8, which is 8/3. Here's the step-by-step explanation:

Write down the problem: (1/4) ÷ (3/8).

Convert the division of fractions into multiplication by the reciprocal: (1/4) × (8/3).

Multiply the numerators together: 1 × 8 = 8.

Multiply the denominators together: 4 × 3 = 12.

Combine the results: 8/12.

Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 4: (8 ÷ 4) / (12 ÷ 4) = 2/3.

Therefore, the exact quotient for 1/4 divided by 3/8 is 2/3.

User Amit Gaud
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