Step 1

Let's write down these fractions:

Step 2

Notice that 2 ¹/₃ is a mixed fraction? We need to convert it into an improper fraction before we can multiply. This is shown below:

Step 3

After the conversion, we have:

Step 4

First, we multiply the numerators (7 x 3). This gives 21.

Step 5

Next, we multiply the denominators (3 x 4) together. This gives 12.
Hence, we have the fraction ²¹/₁₂.

Step 6

Notice that ²¹/₁₂ is an improper fraction? Rather than leaving the answer like this, it is better to change it into a mixed fraction:

Step 7

Next, we can simplify 1 ⁹/₁₂, by dividing the numerator and denominator with 3. This gives the fraction, 1 ³/₄:

Step 8

Here, we can no longer able to further simplify 1 ³/₄. Therefore, the answer is C.

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