164×182=
To solve this problem, we'll convert the given mixed numbers to improper fractions, multiply them, and simplify the result. Let's proceed step by step:
- Step 1: Convert the mixed numbers to improper fractions.
For 164: Multiply the whole number by the denominator and add the numerator:
164=61×6+4=610.
For 182: Similarly, multiply the whole number by the denominator and add the numerator:
182=81×8+2=810.
- Step 2: Multiply the improper fractions.
610×810=6×810×10=48100.
- Step 3: Simplify the resulting fraction.
Find the GCD of 100 and 48, which is 4. Divide both the numerator and the denominator by 4:
48100=48÷4100÷4=1225.
- Step 4: Convert the simplified improper fraction back to a mixed number.
Divide 25 by 12: 25 divided by 12 is 2 with a remainder of 1. So, 1225=2121.
Therefore, the solution to the problem is 2121. This matches the correct answer choice 2.