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3. Select all statements that show correct reasoning for finding 15 ÷ 7

A. Multiply 15 by 2, then divide by 9.
B. Multiply 15 by 9, then divide by 2.
C. Multiply 15 by ¿, then multiply by 2.
D. Multiply 15 by 9, then multiply by 1/2

User Jreznot
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1 Answer

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The correct statements for finding 15 ÷ 7 are:

B. Multiply 15 by 9, then divide by 2.

D. Multiply 15 by 9, then multiply by 1/2.

These statements use equivalent operations to find the value of 15 ÷ 7, but with different intermediate steps. To see why they are equivalent, consider the following:

B. Multiplying 15 by 9 gives 135, which is the numerator in the fraction 15/7. Dividing 135 by 2 gives 67.5, which is equal to 15 ÷ 7.

D. Multiplying 15 by 9 gives 135, which is the numerator in the fraction 15/7. Multiplying by 1/2 gives the fraction 67.5/2, which is equivalent to 15/7 because dividing a fraction by a number is equivalent to multiplying by its reciprocal.

The other statements are not correct because they do not give the correct answer for 15 ÷ 7.

User Ravistm
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