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What is the result of 7 subscript 12 divided by 7 subscript 3?

7 subscript 9

To solve the problem of \( 7_{12} \div 7_{3} \), it’s important to understand how to interpret what the subscript indicates. In this context, the subscript signifies the base in which the numbers are represented.

When performing the division \( 7_{12} \div 7_{3} \), we first recognize that both numbers are in different bases (base 12 and base 3). To divide these two, we can convert them to a common base, typically base 10, which is easier to work with.

Converting \( 7_{12} \) to base 10 is straightforward since 7 in any base (greater than 7) retains the same value:

- \( 7_{12} = 7_{10} \)

Next, we convert \( 7_{3} \) to base 10:

- In base 3, \( 7_{3} \) actually needs to be interpreted as \( 2 \times 3^1 + 1 \times 3^0 = 2 \times 3 + 1 = 6 + 1 = 7_{10} \).

Now, we perform the division in

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7 subscript 15

7 subscript 12

7 subscript 6

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