
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

Can you multiply 993 and 879 in your head? Interestingly, if we have two two-digit numbers containing the same number of tens, and the sum of the digits of their units place equals 10, then such numbers can always be multiplied mentally as follows:
Suppose we need to multiply 97 by 93. Multiply 7 by 3 and write down the result, then add 1 to 9 and multiply it by another 9, $9 \times 10=90$. Thus, $97 \times 93=9021$.

This rule turns out to be very useful when squaring numbers ending in 5, for example, $85^{2}=7225$. There is also a simple rule for multiplying two fractions whose whole parts are the same and whose fractional parts sum to one. For example, $7 \frac{1}{4} \times 7 \frac{3}{4} = 56 \frac{3}{16}$. Multiplying the fractional parts, we get $\frac{3}{16}$; adding 1 to 7 and multiplying the result by another 7, we get $7 \times 8 = 56$.

Present the answer in LaTex format: \boxed{Your answer}
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