182×1147=
To solve the problem 182×1147, follow these steps:
- Step 1: Convert the Mixed Numbers to Improper Fractions
For 182, the improper fraction is calculated as:
182=1+82=88+82=810
- For 1147, simplify 147=21, hence:
1147=1+21=22+21=23
- Step 2: Multiply the Improper Fractions
Multiply the fractions 810 and 23:
810×23=8×210×3=1630
- Step 3: Simplify the Resulting Fraction
Simplify 1630 by finding the greatest common divisor (GCD) of 30 and 16, which is 2:
1630=16÷230÷2=815
- Step 4: Convert Back to a Mixed Number
Convert 815 to a mixed number:
815=187
Therefore, the solution to the problem is 187.